diff --git a/css/local.css b/css/local.css index f1a3262..11dd941 100644 --- a/css/local.css +++ b/css/local.css @@ -1,208 +1,203 @@ body { - padding-top: 70px; -} -table.nostretch { - width=100% -} -.nostretch td { - class='block' -} -.nostretch tr td{ - width:1%; - white-space:nowrap; -} - -html { - scroll-padding-top: 70px; -} - -ol.hierarchy { - min-height: 40px; - background-color: #f5f5f5; - border: 1px solid #e3e3e3; - border-radius: 3px; - -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05); - box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05); -} - -.smallcaps { - font-variant: small-caps; -} -.well .sidebar { - padding: 8px 0 -} -.sidebar a { - padding: 0px,0px,0px,0px -} -.varlist>tbody>tr>td { - padding-left: 3px; - padding-right: 3px; -} -.varlist>tbody>tr>td:first-child, .varlist>thead>tr>td:first-child { - padding-left: 8px; -} -.varlist>tbody>td>td:last-child, .varlist>thead>tr>td:last-child { - padding-right: 8px; -} - -.highlight pre { - overflow-x: auto; - overflow-wrap: normal; - white-space: pre -} - -/* .hl is for when line numbers are included, .highlight is for all + padding-top: 70px; + } + table.nostretch { + width=100% + } + .nostretch td { + class='block' + } + .nostretch tr td{ + width:1%; + white-space:nowrap; + } + + html { + scroll-padding-top: 70px; + } + + ol.hierarchy { + min-height: 40px; + background-color: #f5f5f5; + border: 1px solid #e3e3e3; + border-radius: 3px; + -webkit-box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05); + box-shadow: inset 0 1px 1px rgba(0, 0, 0, 0.05); + } + + .smallcaps { + font-variant: small-caps; + } + .well .sidebar { + padding: 8px 0 + } + .sidebar a { + padding: 0px,0px,0px,0px + } + .varlist>tbody>tr>td { + padding-left: 3px; + padding-right: 3px; + } + .varlist>tbody>tr>td:first-child, .varlist>thead>tr>td:first-child { + padding-left: 8px; + } + .varlist>tbody>td>td:last-child, .varlist>thead>tr>td:last-child { + padding-right: 8px; + } + + .highlight pre { + overflow-x: auto; + overflow-wrap: normal; + white-space: pre + } + + /* .hl is for when line numbers are included, .highlight is for all other cases. */ -.hl pre { - counter-reset: line-numbering; - overflow-x: auto; - overflow-wrap: normal; - white-space: pre; - padding: 0; - padding-right: 9.5px; - overflow-y: hidden; - padding-bottom: 9.5px; -} - -.hl pre a::before { - content: counter(line-numbering); - counter-increment: line-numbering; - padding-right: 0.7em; /* space after numbers */ - margin-top: 4.5em; - width: 60px; - text-align: right; - opacity: 0.7; - display: inline-block; - color: #aaa; - background: #eee; - margin-right: 10px; - border-right: 1px solid #ccc; - -webkit-touch-callout: none; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; -} - -.hl pre a:first-of-type::before { - padding-top: 9.5px; -} - -.hl pre a:last-of-type::before { - padding-bottom: 9.5px; -} - -.hl pre a:only-of-type::before { - padding: 9.5px; -} - -.hl pre a { + .hl pre { + counter-reset: line-numbering; + overflow-x: auto; + overflow-wrap: normal; + white-space: pre; + padding: 0; + padding-right: 9.5px; + overflow-y: hidden; + padding-bottom: 9.5px; + } + + .hl pre a::before { + content: counter(line-numbering); + counter-increment: line-numbering; + padding-right: 0.7em; /* space after numbers */ + margin-top: 4.5em; + width: 60px; + text-align: right; + opacity: 0.7; + display: inline-block; + color: #aaa; + background: #eee; + margin-right: 10px; + border-right: 1px solid #ccc; + -webkit-touch-callout: none; + -webkit-user-select: none; + -khtml-user-select: none; + -moz-user-select: none; + -ms-user-select: none; + user-select: none; + } + + .hl pre a:first-of-type::before { + padding-top: 9.5px; + } + + .hl pre a:last-of-type::before { + padding-bottom: 9.5px; + } + + .hl pre a:only-of-type::before { + padding: 9.5px; + } + + .hl pre a { display: inline-block; height: 4.5em; margin: -4.5em 0 0; -} -.codesum h3 { - margin-top: 2px; - margin-bottom: 2px; -} - -h1.inline, h2.inline, h3.inline { - display: inline; -} - -.depwarn { - float: right; -} - -.anchor { - position: absolute; - margin: -4.5em; - visibility:hidden; -} - -.alert { - margin-left: 5px; - margin-right: 5px; - margin-top: 5px; -} - -.alert-title { - margin-top: 0; - color: inherit; -} - -div.toc { - font-size: 14.73px; - padding-left: 0px; - padding-right: 0px; -} - -div.toc a { - padding-left: 20px; - padding-right: 20px; - margin-right: 15px; - padding-top: 5px; - padding-bottom: 5px; -} - -div.toc li { - font-size: 0.95em; - padding-left: 15px; -} - -div.toc li.title { - font-size: 1em; -} - -div.toc hr { - margin-top: 12px; - margin-bottom: 10px; -} - -.in-well { - padding: 0px 0px; - margin-bottom: 0px; - float:right; -} - -table tr.submod>td { - border-top: none; - font-size: 13.5px; -} - -.graph-help { - font-size: 10px; -} - -.depgraph { - width: 100%; - max-width: 1140px; -} - -#sidebar a { - white-space: nowrap; - overflow: hidden; - text-overflow: ellipsis; -} - -.highlighttable { - width: auto; - table-layout: fixed; -} - -ul.checklist { - list-style-type: none; -} - -ul.checklist input[type="checkbox"] { - margin-left: -20.8px; - margin-right: 4.55px; -} - -.gitter-chat-embed { - z-index: 100000; -} + } + .codesum h3 { + margin-top: 2px; + margin-bottom: 2px; + } + + h1.inline, h2.inline, h3.inline { + display: inline; + } + + .depwarn { + float: right; + } + + .anchor { + position: absolute; + margin: -4.5em; + visibility:hidden; + } + + .alert { + margin-left: 5px; + margin-right: 5px; + margin-top: 5px; + } + + div.toc { + font-size: 14.73px; + padding-left: 0px; + padding-right: 0px; + } + + div.toc a { + padding-left: 20px; + padding-right: 20px; + margin-right: 15px; + padding-top: 5px; + padding-bottom: 5px; + } + + div.toc li { + font-size: 0.95em; + padding-left: 15px; + } + + div.toc li.title { + font-size: 1em; + } + + div.toc hr { + margin-top: 12px; + margin-bottom: 10px; + } + + .in-well { + padding: 0px 0px; + margin-bottom: 0px; + float:right; + } + + table tr.submod>td { + border-top: none; + font-size: 13.5px; + } + + .graph-help { + font-size: 10px; + } + + .depgraph { + width: 100%; + max-width: 1140px; + } + + #sidebar a { + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; + } + + .highlighttable { + width: auto; + table-layout: fixed; + } + + ul.checklist { + list-style-type: none; + } + + ul.checklist input[type="checkbox"] { + margin-left: -20.8px; + margin-right: 4.55px; + } + + .gitter-chat-embed { + z-index: 100000; + } table.graph { text-align: center; @@ -210,8 +205,8 @@ table.graph { .graph td.root { - border:2px solid black; - padding:10px; + border:2px solid black; + padding:10px; } .graph td.triangle-right:after { @@ -231,15 +226,15 @@ table.graph { } .graph td.node { - color: white; - padding:10px; - border-style: solid; - border-width: 3px 0px 3px 0px; - border-color: white; + color: white; + padding:10px; + border-style: solid; + border-width: 3px 0px 3px 0px; + border-color: white; } .graph td.node a{ - color: white; + color: white; } .graph td.dashedText, @@ -287,12 +282,3 @@ table.graph { td, th { padding-right: 10px; } - -.nav>li>a { - padding-left: 10px; - padding-right: 10px; -} - -.nav > .nav { - margin-left: 16px; -} diff --git a/css/pygments.css b/css/pygments.css index c4b2fd9..4a3a8d8 100644 --- a/css/pygments.css +++ b/css/pygments.css @@ -1,75 +1,61 @@ -pre { line-height: 125%; } -td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; } -span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; } -td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; } -span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; } -.codehilite .hll { background-color: #ffffcc } -.codehilite { background: #f8f8f8; } -.codehilite .c { color: #3D7B7B; font-style: italic } /* Comment */ -.codehilite .err { border: 1px solid #FF0000 } /* Error */ -.codehilite .k { color: #008000; font-weight: bold } /* Keyword */ -.codehilite .o { color: #666666 } /* Operator */ -.codehilite .ch { color: #3D7B7B; 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font-style: italic } /* Comment */ +pre .err { border: 1px solid #FF0000 } /* Error */ +pre .k { color: #008000; font-weight: bold } /* Keyword */ +pre .o { color: #666666 } /* Operator */ +pre .cm { color: #408080; font-style: italic } /* Comment.Multiline */ +pre .cp { color: #BC7A00 } /* Comment.Preproc */ +pre .c1 { color: #408080; font-style: italic } /* Comment.Single */ +pre .cs { color: #408080; font-style: italic } /* Comment.Special */ +pre .gd { color: #A00000 } /* Generic.Deleted */ +pre .ge { font-style: italic } /* Generic.Emph */ +pre .gr { color: #FF0000 } /* Generic.Error */ +pre .gh { color: #000080; font-weight: bold } /* Generic.Heading */ +pre .gi { color: #00A000 } /* Generic.Inserted */ +pre .go { color: #888888 } /* Generic.Output */ +pre .gp { color: #000080; font-weight: bold } /* Generic.Prompt */ +pre .gs { font-weight: bold } /* Generic.Strong */ +pre .gu { color: #800080; font-weight: bold } /* Generic.Subheading */ +pre .gt { color: #0044DD } /* Generic.Traceback */ +pre .kc { color: #008000; font-weight: bold } /* Keyword.Constant */ +pre .kd { color: #008000; font-weight: bold } /* Keyword.Declaration */ +pre .kn { color: #008000; font-weight: bold } /* Keyword.Namespace */ +pre .kp { color: #008000 } /* Keyword.Pseudo */ +pre .kr { color: #008000; font-weight: bold } /* Keyword.Reserved */ +pre .kt { color: #B00040 } /* Keyword.Type */ +pre .m { color: #666666 } /* Literal.Number */ +pre .s { color: #BA2121 } /* Literal.String */ +pre .na { color: #7D9029 } /* Name.Attribute */ +pre .nb { color: #008000 } /* Name.Builtin */ +pre .nc { color: #0000FF; font-weight: bold } /* Name.Class */ +pre .no { color: #880000 } /* Name.Constant */ +pre .nd { color: #AA22FF } /* Name.Decorator */ +pre .ni { color: #999999; font-weight: bold } /* Name.Entity */ +pre .ne { color: #D2413A; font-weight: bold } /* Name.Exception */ +pre .nf { color: #0000FF } /* Name.Function */ +pre .nl { color: #A0A000 } /* Name.Label */ +pre .nn { color: #0000FF; font-weight: bold } /* Name.Namespace */ +pre .nt { color: #008000; font-weight: bold } /* Name.Tag */ +pre .nv { color: #19177C } /* Name.Variable */ +pre .ow { color: #AA22FF; font-weight: bold } /* Operator.Word */ +pre .w { color: #bbbbbb } /* Text.Whitespace */ +pre .mf { color: #666666 } /* Literal.Number.Float */ +pre .mh { color: #666666 } /* Literal.Number.Hex */ +pre .mi { color: #666666 } /* Literal.Number.Integer */ +pre .mo { color: #666666 } /* Literal.Number.Oct */ +pre .sb { color: #BA2121 } /* Literal.String.Backtick */ +pre .sc { color: #BA2121 } /* Literal.String.Char */ +pre .sd { color: #BA2121; font-style: italic } /* Literal.String.Doc */ +pre .s2 { color: #BA2121 } /* Literal.String.Double */ +pre .se { color: #BB6622; font-weight: bold } /* Literal.String.Escape */ +pre .sh { color: #BA2121 } /* Literal.String.Heredoc */ +pre .si { color: #BB6688; font-weight: bold } /* Literal.String.Interpol */ +pre .sx { color: #008000 } /* Literal.String.Other */ +pre .sr { color: #BB6688 } /* Literal.String.Regex */ +pre .s1 { color: #BA2121 } /* Literal.String.Single */ +pre .ss { color: #19177C } /* Literal.String.Symbol */ +pre .bp { color: #008000 } /* Name.Builtin.Pseudo */ +pre .vc { color: #19177C } /* Name.Variable.Class */ +pre .vg { color: #19177C } /* Name.Variable.Global */ +pre .vi { color: #19177C } /* Name.Variable.Instance */ +pre .il { color: #666666 } /* Literal.Number.Integer.Long */ diff --git a/index.html b/index.html index 9f18d0f..36c60eb 100644 --- a/index.html +++ b/index.html @@ -10,57 +10,81 @@ FSTATS - + - - + + + + + + -
- -
+ + + + +
-
+

FSTATS is a modern Fortran statistical library containing routines for computing basic statistical properties, hypothesis testing, regression, special functions, and experimental design.

Find us on…

@@ -69,24 +93,24 @@

-
+

FSTATS

-
-
-

Developer Info

-

Jason Christopherson

-

-
-
+
+
+

Developer Info

+

Jason Christopherson

+ +
+
+
@@ -66,37 +88,33 @@

anova Interface

-
-
-
+
+
+
-
-
- +
    +
  1. fstats_anova.f90
    2. +
  2. fstats_anova
    3. +
  3. anova
    4. +
@@ -124,13 +142,14 @@

Contents

-
- -
-
+
+
+

+ Module Procedures +

+
+
+
anova_1_factor anova_2_factor anova_model_fit @@ -138,7 +157,6 @@

Module Procedures

-
@@ -151,51 +169,51 @@

public interface anova

set.

The following example illustrates a single-factor ANOVA on a data set.

-
program example
-    use iso_fortran_env
-    use fstats
-    implicit none
+
program example
+    use iso_fortran_env
+    use fstats
+    implicit none
 
     ! Local Variables
-    character, parameter :: tab = achar(9)
-    real(real64) :: x(10, 2)
-    type(single_factor_anova_table) :: tbl
+    character, parameter :: tab = achar(9)
+    real(real64) :: x(10, 2)
+    type(single_factor_anova_table) :: tbl
 
     ! Define the data
-    x = reshape( &
-        [ &
-            3.086d3, 3.082d3, 3.069d3, 3.072d3, 3.045d3, 3.070d3, 3.079d3, &
-            3.050d3, 3.062d3, 3.062d3, 3.075d3, 3.061d3, 3.063d3, 3.038d3, &
-            3.070d3, 3.062d3, 3.070d3, 3.049d3, 3.042d3, 3.063d3 &
-        ], &
-        [10, 2] &
-    )
+    x = reshape( &
+        [ &
+            3.086d3, 3.082d3, 3.069d3, 3.072d3, 3.045d3, 3.070d3, 3.079d3, &
+            3.050d3, 3.062d3, 3.062d3, 3.075d3, 3.061d3, 3.063d3, 3.038d3, &
+            3.070d3, 3.062d3, 3.070d3, 3.049d3, 3.042d3, 3.063d3 &
+        ], &
+        [10, 2] &
+    )
 
     ! Perform the ANOVA
-    tbl = anova(x)
+    tbl = anova(x)
 
     ! Print out the table
-    print '(A)', "Description" // tab // "DOF" // tab // "Sum of Sq." // &
-        tab // "Variance" // tab // "F-Stat" // tab // "P-Value"
-    print '(AF2.0AF5.1AF5.1AF5.3AF5.3)', "Main Factor: " // tab, &
-        tbl%main_factor%dof, tab, &
-        tbl%main_factor%sum_of_squares, tab // tab, &
-        tbl%main_factor%variance, tab // tab, &
-        tbl%main_factor%f_statistic, tab, &
-        tbl%main_factor%probability
-
-    print '(AF3.0AF6.1AF5.1)', "Within: " // tab, &
-        tbl%within_factor%dof, tab, &
-        tbl%within_factor%sum_of_squares, tab // tab, &
-        tbl%within_factor%variance
-
-    print '(AF3.0AF6.1AF5.1)', "Total: " // tab // tab, &
-        tbl%total_dof, tab, &
-        tbl%total_sum_of_squares, tab // tab, &
-        tbl%total_variance
-
-    print '(AF6.1)', "Overall Mean: ", tbl%overall_mean
-end program
+    print '(A)', "Description" // tab // "DOF" // tab // "Sum of Sq." // &
+        tab // "Variance" // tab // "F-Stat" // tab // "P-Value"
+    print '(AF2.0AF5.1AF5.1AF5.3AF5.3)', "Main Factor: " // tab, &
+        tbl%main_factor%dof, tab, &
+        tbl%main_factor%sum_of_squares, tab // tab, &
+        tbl%main_factor%variance, tab // tab, &
+        tbl%main_factor%f_statistic, tab, &
+        tbl%main_factor%probability
+
+    print '(AF3.0AF6.1AF5.1)', "Within: " // tab, &
+        tbl%within_factor%dof, tab, &
+        tbl%within_factor%sum_of_squares, tab // tab, &
+        tbl%within_factor%variance
+
+    print '(AF3.0AF6.1AF5.1)', "Total: " // tab // tab, &
+        tbl%total_dof, tab, &
+        tbl%total_sum_of_squares, tab // tab, &
+        tbl%total_variance
+
+    print '(AF6.1)', "Overall Mean: ", tbl%overall_mean
+end program
 

 
 
The above program produces the following output.

@@ -215,29 +233,69 @@ 
public interface anova

 
  • NIST - Two Way ANOVA
    • 
 
 
    
+      
    
+          
    Contents
    
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
+    
    
+
+
+
+      
    
+      
    
+
 
 
         
    Module Procedures
    
-            
    
-    
     
    private  function anova_1_factor(x) result(rst)  
+            
    
+    
    private  function anova_1_factor(x) result(rst)  
 
    
-    
    
+    
    
         
    Performs an analysis of variance (ANOVA) on the supplied data set.
    
 
   
    Arguments
    
       
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -256,33 +314,33 @@ 
    Arguments
    
     Return Value
-    type(single_factor_anova_table)
+    type(single_factor_anova_table)
     
    A single_factor_anova_table instance containing the ANOVA results.
    
 
-            
    
-    
     
    private  function anova_2_factor(x) result(rst)  
+            
    
+    
    private  function anova_2_factor(x) result(rst)  
 
    
-    
    
+    
    
         
    Performs an analysis of variance (ANOVA) on the supplied data set.
    
 
   
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
 
     
     
 
     
   
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -301,33 +359,33 @@ 
    Arguments
    
     Return Value
-    type(two_factor_anova_table)
+    type(two_factor_anova_table)
     
    A two_factor_anova_table instance containing the ANOVA results.
    
 
-            
    
-    
     
    private  function anova_model_fit(nmodelparams, ymeas, ymod, err) result(rst)  
+            
    
+    
    private  function anova_model_fit(nmodelparams, ymeas, ymod, err) result(rst)  
 
    
-    
    
+    
    
         
    Performs an analysis of variance (ANOVA) on the supplied data set.
    
 
   
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
 
     
     
 
     
   
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -342,7 +400,7 @@ 
    Arguments
    
@@ -357,7 +415,7 @@ 
    Arguments
    
@@ -372,7 +430,7 @@ 
    Arguments
    
@@ -395,7 +453,7 @@ 
    Arguments
    
     Return Value
-    type(single_factor_anova_table)
+    type(single_factor_anova_table)
     
    A single_factor_anova_table instance containing the ANOVA results.
    
 
@@ -408,27 +466,32 @@ 
    
      
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
-
-    
+         
+    
+        
+        
+        
+
+        
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
+      
+    
 
     
    
   
    
@@ -66,37 +89,33 @@ 
    bootstrap_resampling_routine
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_bootstrap.f90
      2. 
+              
    2. fstats_bootstrap
      3. 
+          
    3. bootstrap_resampling_routine
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,16 +162,16 @@ 
    Arguments
    
         
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               integer(kind=int32),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               class(errors),
             
 intent(inout),
 
     
     
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -197,27 +215,32 @@ 
    Description
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
-    
-    
+    
+    
+
+         
+         
+
   
-    
    
-      
-    
    
+              
+            
+        
+      
+    
    
   
    
@@ -66,37 +89,33 @@ 
    bootstrap_statistic_routine
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_bootstrap.f90
      2. 
+              
    2. fstats_bootstrap
      3. 
+          
    3. bootstrap_statistic_routine
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,16 +162,16 @@ 
    Arguments
    
         
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in),
      
     
              
         
 
   
 
     
 
     
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -169,7 +187,7 @@ 
    Arguments
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in),
     
    
   
    
 
-      
    Return Value real(kind=real64)
    
+      
    Return Value real(kind=real64)
    
     
    The resulting statistic.
    
     
    Description
    
     
    Defines the signature of a function for computing the desired
@@ -183,27 +201,32 @@ 
    Description
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
-
-    
+         
+    
+        
+        
+        
+
+        
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
   
    
@@ -66,37 +88,33 @@ 
    box_muller_sample
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_sampling.f90
      2. 
+              
    2. fstats_sampling
      3. 
+          
    3. box_muller_sample
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -124,20 +142,20 @@ 
    Contents
    
   
   
   
-      
    
-      
-      
    
-        
    
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
     
    
 
-  
 
 
   
    
@@ -149,13 +167,52 @@ 
    public interface box_muller_sample
    
       
    Generates random, normally distributed values via the Box-Muller 
 transform.
    
 
    
+      
    
+          
    Contents
    
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
+    
    
+
+
+
+      
    
+      
    
+
 
 
         
    Module Procedures
    
-            
    
-    
     
    private  function box_muller_sample_scalar(mu, sigma) result(rst)  
+            
    
+    
    private  function box_muller_sample_scalar(mu, sigma) result(rst)  
 
    
-    
    
+    
    
         
    Generates a pair of independent, standard, normally distributed
 random values using the Box-Muller transform.
    
 
@@ -163,16 +220,16 @@ 
    Arguments
    
       
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -187,7 +244,7 @@ 
    Arguments
    
@@ -212,10 +269,10 @@ 
    
     
   
 
-            
    
-    
     
    private  function box_muller_array(mu, sigma, n) result(rst)  
+            
    
+    
    private  function box_muller_array(mu, sigma, n) result(rst)  
 
    
-    
    
+    
    
         
    Generates an array of normally distributed random values sampled
 by the Box-Muller transform.
    
 
@@ -223,16 +280,16 @@ 
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -247,7 +304,7 @@ 
    Arguments
    
@@ -262,7 +319,7 @@ 
    Arguments
    
@@ -293,27 +350,32 @@ 
    
      
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
-    
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
+      
+    
 
     
    
   
    
@@ -66,37 +88,33 @@ 
    confidence_interval
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_hypothesis.f90
      2. 
+              
    2. fstats_hypothesis
      3. 
+          
    3. confidence_interval
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -124,20 +142,20 @@ 
    Contents
    
   
   
   
-      
    
-      
-      
    
-        
    
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
     
    
 
-  
 
 
   
    
@@ -152,30 +170,69 @@ 
    public interface confidence_interval
    
 
  • Wikipedia
    • 
 
 
    
+      
    
+          
    Contents
    
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
+    
    
+
+
+
+      
    
+      
    
+
 
 
         
    Module Procedures
    
-            
    
-    
     
    private pure function confidence_interval_scalar(dist, alpha, s, n) result(rst)  
+            
    
+    
    private pure function confidence_interval_scalar(dist, alpha, s, n) result(rst)  
 
    
-    
    
+    
    
         
    Computes the confidence interval for the specified distribution.
    
 
   
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               integer(kind=int32),
             
 intent(in)
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -206,7 +263,7 @@ 
    Arguments
    
@@ -221,7 +278,7 @@ 
    Arguments
    
@@ -246,27 +303,27 @@ 
    
     
   
 
-            
    
-    
     
    private pure function confidence_interval_array(dist, alpha, x) result(rst)  
+            
    
+    
    private pure function confidence_interval_array(dist, alpha, x) result(rst)  
 
    
-    
    
+    
    
         
    Computes the confidence interval for the specified distribution.
    
 
   
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              class(distribution),
+              
+              class(distribution),
             
 intent(in)
                           
@@ -190,7 +247,7 @@ 
    Arguments
    
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               integer(kind=int32),
             
 intent(in)
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -297,7 +354,7 @@ 
    Arguments
    
@@ -328,27 +385,32 @@ 
    
      
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
-    
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
+      
+    
 
     
    
   
    
@@ -66,37 +89,33 @@ 
    distribution_function
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_distributions.f90
      2. 
+              
    2. fstats_distributions
      3. 
+          
    3. distribution_function
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,17 +162,17 @@ 
    Arguments
    
         
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              class(distribution),
+              
+              class(distribution),
             
 intent(in)
                           
@@ -281,7 +338,7 @@ 
    Arguments
    
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
    
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -184,7 +202,7 @@ 
    Arguments
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              class(distribution),
+              
+              class(distribution),
             
 intent(in)
                           
@@ -168,7 +186,7 @@ 
    Arguments
    
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in)
     
    
   
    
 
-      
    Return Value real(kind=real64)
    
+      
    Return Value real(kind=real64)
    
     
    The value of the function.
    
     
    Description
    
     
    Defines the interface for a probability distribution function.
    
@@ -197,27 +215,32 @@ 
    Description
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
-    
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
   
    
@@ -66,37 +89,33 @@ 
    distribution_property
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_distributions.f90
      2. 
+              
    2. fstats_distributions
      3. 
+          
    3. distribution_property
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,17 +162,17 @@ 
    Arguments
    
         
-        
-
-        
-        
-        
+        
+
+        
+        
+        
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              class(distribution),
+              
+              class(distribution),
             
 intent(in)
                           
@@ -169,7 +187,7 @@ 
    Arguments
    
     
    
   
    
 
-      
    Return Value real(kind=real64)
    
+      
    Return Value real(kind=real64)
    
     
    The property value.
    
     
    Description
    
     
    Computes the value of a distribution property.
    
@@ -182,27 +200,32 @@ 
    Description
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
-
-    
+         
+    
+        
+        
+        
+
+        
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
   
    
@@ -66,37 +88,33 @@ 
    doe_evaluate_model
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
   
 
@@ -124,20 +142,20 @@ 
    Contents
    
   
   
   
-      
    
-      
-      
    
-        
    
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
     
    
 
-  
 
 
   
    
@@ -148,13 +166,52 @@ 
    Module Procedures
    
       
    public interface doe_evaluate_model
    
       
 
+      
    
+          
    Contents
    
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
+    
    
+
+
+
+      
    
+      
    
+
 
 
         
    Module Procedures
    
-            
    
-    
     
    private  function doe_evaluate_model_1(nway, beta, x, map, err) result(rst)  
+            
    
+    
    private  function doe_evaluate_model_1(nway, beta, x, map, err) result(rst)  
 
    
-    
    
+    
    
         
    Evaluates the model of the following form.
    
 
    
     
-
-    
+         
+    
+        
+        
+        
+
+        
              
         
-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
   
    
@@ -66,37 +89,33 @@ 
    iteration_update
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_regression.f90
      2. 
+              
    2. fstats_regression
      3. 
+          
    3. iteration_update
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,16 +162,16 @@ 
    Arguments
    
         
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -163,7 +181,7 @@ 
    Arguments
    
@@ -171,14 +189,14 @@ 
    Arguments
    
               real(kind=real64),
             
-
+
-            
+            
@@ -186,29 +204,29 @@ 
    Arguments
    
               real(kind=real64),
             
-
+
-            
+            
-
+
-            
+            
@@ -216,19 +234,22 @@ 
    Arguments
    
               real(kind=real64),
             
-
+
-            
+            
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               integer(kind=int32),
             
 intent(in)
             ::
             iter
             
-                
+                
    The current iteration number.
    
                 		
         
    
         
    
               intent(in)intent(in),
                           
-              
+              dimension(:)
             
             ::funvals(:)funvals
             
-                
+                
    The function values.
    
                 		
         
    
         
    
               intent(in)intent(in),
                           
-              
+              dimension(:)
             
             ::resid(:)resid
             
-                
+                
    The residuals.
    
                 		
         
    
         
    
             
-              
+              
               real(kind=real64),
             intent(in)intent(in),
                           
-              
+              dimension(:)
             
             ::params(:)params
             
-                
+                
    The model parameters.
    
                 		
         
    
         
    
               intent(in)intent(in),
                           
-              
+              dimension(:)
             
             ::step(:)step
             
-                
+                
    Step sizes for each parameter.
    
                 		
         
    
         
   
    
 
+    
    Description
    
+    
    Defines a routine for providing updates about an iteration
+process.
    
     
    
 
  
    
@@ -238,27 +259,32 @@ 
    Arguments
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
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@@ -66,37 +89,33 @@ 
    multivariate_distribution_function
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_distributions.f90
      2. 
+              
    2. fstats_distributions
      3. 
+          
    3. multivariate_distribution_function
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -144,17 +162,17 @@ 
    Arguments
    
         
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -184,7 +202,7 @@ 
    Arguments
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              class(multivariate_distribution),
+              
+              class(multivariate_distribution),
             
 intent(in)
                           
@@ -168,7 +186,7 @@ 
    Arguments
    
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in),
     
    
   
    
 
-      
    Return Value real(kind=real64)
    
+      
    Return Value real(kind=real64)
    
     
    The value of the function.
    
     
    Description
    
     
    Defines an interface for a multivariate probability distribution
@@ -198,27 +216,32 @@ 
    Description
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
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+            
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+      
    
+    
 
     
    
   
    
@@ -66,37 +88,33 @@ 
    pooled_variance
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
   
 
@@ -124,20 +142,20 @@ 
    Contents
    
   
   
   
-      
    
-      
-      
    
-        
    
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
     
    
 
-  
 
 
   
    
@@ -148,29 +166,68 @@ 
    Module Procedures
    
       
    public interface pooled_variance
    
       
    Computes the pooled estimate of variance.
    
 
    
+      
    
+          
    Contents
    
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+  
+      
    
+      
    
+        
    
+          Module Procedures
+        
    
+      
    
+      
+    
    
+
+
+
+      
    
+      
    
+
 
 
         
    Module Procedures
    
-            
    
-    
     
    private pure function pooled_variance_1(si, ni) result(rst)  
+            
    
+    
    private pure function pooled_variance_1(si, ni) result(rst)  
 
    
-    
    
+    
    
         
    Computes the pooled estimate of variance.
    
 
   
    Arguments
    
       
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -186,7 +243,7 @@ 
    Arguments
    
@@ -212,27 +269,27 @@ 
    
     
   
 
-            
    
-    
     
    private pure function pooled_variance_2(x) result(rst)  
+            
    
+    
    private pure function pooled_variance_2(x) result(rst)  
 
    
-    
    
+    
    
         
    Computes the pooled estimate of variance.
    
 
   
    Arguments
    
       
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in),
         
    
         
    
             
-              
+              
               integer(kind=int32),
             
 intent(in),
    
-        
-
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+        
+        
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+
+
+
+
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             
-              
-              type(array_container),
+              
+              type(array_container),
             
 intent(in),
                           
@@ -262,27 +319,32 @@ 
    
      
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
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+    
+
+         
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+
   
 
   
 
     
-    
    
-      
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+              
+            
+        
+      
+    
 
     
    
   
    
@@ -66,37 +89,33 @@ 
    regression_function
       Interface
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats_regression.f90
      2. 
+              
    2. fstats_regression
      3. 
+          
    3. regression_function
      4. 
+        
    
       
    
     
    
   
    
   
 
@@ -125,7 +144,6 @@ 
    Contents
    
   
   
   
-  
 
     None
 
@@ -135,7 +153,7 @@ 
    Contents
    
     
     
    
       
    interface 
    
-      public  subroutine regression_function(xdata, params, resid, stop)  
+      public  subroutine regression_function(xdata, params, f, stop)  
 
        
 
     
@@ -144,11 +162,11 @@ 
    Arguments
    
         
-        
-
-        
-        
-        
+        
+
+        
+        
+        
@@ -163,12 +181,12 @@ 
    Arguments
    
@@ -178,12 +196,12 @@ 
    Arguments
    
@@ -191,9 +209,10 @@ 
    Arguments
    
               dimension(:)
             
-            
+            
@@ -208,12 +227,19 @@ 
    Arguments
    
     
       
    TypeIntentOptional        AttributesNameTypeIntentOptional        AttributesName
     
    
     
         
    
             ::
             xdata
             
-                
+                
    An N-element array containing the N independent data points.
    
                 		
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(in),
             ::
             params
             
-                
+                
    An M-element array containing the M model parameters.
    
                 		
         
    
         
    
             
-              
+              
               real(kind=real64),
             
 intent(out),
             ::residf
             
-                
+                
    An N-element array where the results of the N function 
+evaluations will be written.
    
                 		
         
    
         
    
             ::
             stop
             
-                
+                
    A mechanism to force a stop to the iteration process.  If
+set to true, the iteration process will terminate.  If set
+to false, the iteration process will continue along as 
+normal.
    
                 		
         
    
         
   
    
 
+    
    Description
    
+    
    Defines the interface of a subroutine computing the function
+values at each of the N data points as part of a regression
+analysis.
    
     
    
 
  
    
@@ -223,27 +249,32 @@ 
    Arguments
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
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-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
       
    
@@ -68,70 +90,23 @@ 
    Source Files
    
 			 
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+			   
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+			   
+			   
    
 			 
    FileDescription
    
 			 
    fstats.f90
    fstats_allan.f90
    fstats_anova.f90
    fstats_bootstrap.f90
    fstats_descriptive_statistics.f90
    fstats_distributions.f90
    fstats_errors.f90
    fstats_experimental_design.f90
    fstats_helper_routines.f90
    fstats_hypothesis.f90
    fstats_mcmc.f90
    fstats_regression.f90
    fstats_sampling.f90
    fstats_smoothing.f90
    fstats_special_functions.f90
    fstats_types.f90
    fstats.f90
    fstats_allan.f90
    fstats_anova.f90
    fstats_bootstrap.f90
    fstats_descriptive_statistics.f90
    fstats_distributions.f90
    fstats_errors.f90
    fstats_experimental_design.f90
    fstats_helper_routines.f90
    fstats_hypothesis.f90
    fstats_mcmc.f90
    fstats_mcmc_fitting.f90
    fstats_regression.f90
    fstats_sampling.f90
    fstats_smoothing.f90
    fstats_special_functions.f90
    fstats_types.f90
    
 			 
    
 			 
         
    
@@ -140,27 +115,32 @@ 
    Source Files
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
-    
-        
+    
+         
+    
+        
+        
+        
 
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-    
+    
+    
+
+         
+         
+
   
 
   
 
     
-    
    
-      
-    
    
+              
+            
+        
    
+      
    
+    
 
     
    
       
    
@@ -68,89 +90,26 @@ 
    Modules
    
 			 
-			   
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-
    
 			 
    ModuleSource FileDescription
    
 			 
    fstatsfstats.f90
    FSTATS is a modern Fortran statistical library containing routines for 
+			   
    fstatsfstats.f90
    FSTATS is a modern Fortran statistical library containing routines for 
 computing basic statistical properties, hypothesis testing, regression, 
-special functions, and experimental design.
    			   
    fstats_allanfstats_allan.f90
    			   
    fstats_anovafstats_anova.f90
    			   
    fstats_bootstrapfstats_bootstrap.f90
    			   
    fstats_descriptive_statisticsfstats_descriptive_statistics.f90
    			   
    fstats_distributionsfstats_distributions.f90
    			   
    fstats_errorsfstats_errors.f90
    			   
    fstats_experimental_designfstats_experimental_design.f90
    			   
    fstats_helper_routinesfstats_helper_routines.f90
    			   
    fstats_hypothesisfstats_hypothesis.f90
    			   
    fstats_mcmcfstats_mcmc.f90
    			   
    fstats_regressionfstats_regression.f90
    			   
    fstats_samplingfstats_sampling.f90
    			   
    fstats_smoothingfstats_smoothing.f90
    			   
    fstats_special_functionsfstats_special_functions.f90
    			   
    fstats_typesfstats_types.f90
    			 
    
+special functions, and experimental design.
    			   
    fstats_allanfstats_allan.f90
    			   
    fstats_anovafstats_anova.f90
    			   
    fstats_bootstrapfstats_bootstrap.f90
    			   
    fstats_descriptive_statisticsfstats_descriptive_statistics.f90
    			   
    fstats_distributionsfstats_distributions.f90
    			   
    fstats_errorsfstats_errors.f90
    			   
    fstats_experimental_designfstats_experimental_design.f90
    			   
    fstats_helper_routinesfstats_helper_routines.f90
    			   
    fstats_hypothesisfstats_hypothesis.f90
    			   
    fstats_mcmcfstats_mcmc.f90
    			   
    fstats_mcmc_fittingfstats_mcmc_fitting.f90
    			   
    fstats_regressionfstats_regression.f90
    			   
    fstats_samplingfstats_sampling.f90
    			   
    fstats_smoothingfstats_smoothing.f90
    			   
    fstats_special_functionsfstats_special_functions.f90
    			   
    fstats_typesfstats_types.f90
    			 
    
              
         
    
       
    
@@ -158,27 +117,32 @@ 
    Modules
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
-    
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-    
    
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+    
 
     
    
       
    
@@ -68,389 +90,94 @@ 
    Procedures
    
 			 
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+difference in parameter.
    Read more…
+			   
+			   
+			   
+			   
+			   
+			   
+			   
    
 			 
    ProcedureLocationProcedure TypeDescription
    
 			 
    adjusted_r_squaredfstats_regressionFunction
    Computes the adjusted R-squared value for a data set.
    Read more…
    allan_variancefstats_allanFunction
    Computes the Allan variance of a data set.
    Read more…
    anovafstats_anovaInterface
    Performs an analysis of variance (ANOVA) on the supplied data 
-set.
    Read more…
    bartletts_testfstats_hypothesisSubroutine
    Computes Bartlett's test statistic and associated probability.
    Read more…
    betafstats_special_functionsFunction
    Computes the beta function.
    Read more…
    bootstrapfstats_bootstrapFunction
    Performs a bootstrap calculation on the supplied data set for the given
+			   
    adjusted_r_squaredfstats_regressionFunction
    Computes the adjusted R-squared value for a data set.
    Read more…
    allan_variancefstats_allanFunction
    Computes the Allan variance of a data set.
    Read more…
    anovafstats_anovaInterface
    Performs an analysis of variance (ANOVA) on the supplied data 
+set.
    Read more…
    bartletts_testfstats_hypothesisSubroutine
    Computes Bartlett's test statistic and associated probability.
    Read more…
    betafstats_special_functionsFunction
    Computes the beta function.
    Read more…
    bootstrapfstats_bootstrapFunction
    Performs a bootstrap calculation on the supplied data set for the given
 statistic.  The default implementation utlizes a random resampling with 
 replacement.  Other resampling methods may be defined by specifying an 
-appropriate routine by means of the method input.
    bootstrap_resampling_routinefstats_bootstrapInterface
    bootstrap_statistic_routinefstats_bootstrapInterface
    box_muller_samplefstats_samplingInterface
    Generates random, normally distributed values via the Box-Muller 
-transform.
    calculate_regression_statisticsfstats_regressionFunction
    Computes statistics for the quality of fit for a regression 
-model.
    confidence_intervalfstats_hypothesisInterface
    Computes the confidence interval for the specified distribution.
    Read more…
    correlationfstats_regressionFunction
    Computes the sample correlation coefficient (an estimate to the 
-population Pearson correlation) as follows.
    Read more…
    covariancefstats_descriptive_statisticsFunction
    Computes the sample covariance of two data sets.
    Read more…
    covariance_matrixfstats_regressionSubroutine
    Computes the covariance matrix  where 
+appropriate routine by means of the method input.
    bootstrap_resampling_routinefstats_bootstrapInterface
    bootstrap_statistic_routinefstats_bootstrapInterface
    box_muller_samplefstats_samplingInterface
    Generates random, normally distributed values via the Box-Muller 
+transform.
    calculate_regression_statisticsfstats_regressionFunction
    Computes statistics for the quality of fit for a regression 
+model.
    confidence_intervalfstats_hypothesisInterface
    Computes the confidence interval for the specified distribution.
    Read more…
    correlationfstats_regressionFunction
    Computes the sample correlation coefficient (an estimate to the 
+population Pearson correlation) as follows.
    Read more…
    covariancefstats_descriptive_statisticsFunction
    Computes the sample covariance of two data sets.
    Read more…
    covariance_matrixfstats_regressionSubroutine
    Computes the covariance matrix  where 
  and  is computed
-by design_matrix.
    Read more…
    design_matrixfstats_regressionSubroutine
    Computes the design matrix  for the linear 
+by design_matrix.
    Read more…
    design_matrixfstats_regressionSubroutine
    Computes the design matrix  for the linear 
 least-squares regression problem of , where 
  is the matrix computed here,  is 
 the vector of coefficients to be determined, and  is the 
-vector of measured dependent variables.
    Read more…
    differencefstats_helper_routinesFunction
    Computes the difference between elements in an array.
    digammafstats_special_functionsFunction
    Computes the digamma function.
    Read more…
    distribution_functionfstats_distributionsInterface
    distribution_propertyfstats_distributionsInterface
    doe_evaluate_modelfstats_experimental_designInterface
    doe_fit_modelfstats_experimental_designFunction
    Fits a Taylor series model to the provided data.
    Read more…
    f_testfstats_hypothesisSubroutine
    Computes the F-test and returns the probability (two-tailed) that
-the variances of two data sets are not significantly different.
    Read more…
    factorialfstats_helper_routinesFunction
    Computes the factorial of X.
    full_factorialfstats_experimental_designSubroutine
    Computes a table with values scaled from 1 to N describing a 
-full-factorial design.
    Read more…
    get_full_factorial_matrix_sizefstats_experimental_designSubroutine
    Computes the appropriate size for a full-factorial design table.
    incomplete_betafstats_special_functionsFunction
    Computes the incomplete beta function.
    Read more…
    incomplete_gamma_lowerfstats_special_functionsFunction
    Computes the lower incomplete gamma function.
    Read more…
    incomplete_gamma_upperfstats_special_functionsFunction
    Computes the upper incomplete gamma function.
    Read more…
    iteration_updatefstats_regressionInterface
    jacobianfstats_regressionSubroutine
    Computes the Jacobian matrix for a nonlinear regression problem.
    levenes_testfstats_hypothesisSubroutine
    Computes Levene's test statistic and associated probability.
    Read more…
    linear_least_squaresfstats_regressionSubroutine
    Computes a linear least-squares regression to fit a set of data.
    Read more…
    lowessfstats_smoothingSubroutine
    Computes the smoothing of a data set using a robust locally weighted
+vector of measured dependent variables.
    Read more…
    differencefstats_helper_routinesFunction
    Computes the difference between elements in an array.
    digammafstats_special_functionsFunction
    Computes the digamma function.
    Read more…
    distribution_functionfstats_distributionsInterface
    distribution_propertyfstats_distributionsInterface
    doe_evaluate_modelfstats_experimental_designInterface
    doe_fit_modelfstats_experimental_designFunction
    Fits a Taylor series model to the provided data.
    Read more…
    f_testfstats_hypothesisSubroutine
    Computes the F-test and returns the probability (two-tailed) that
+the variances of two data sets are not significantly different.
    Read more…
    factorialfstats_helper_routinesFunction
    Computes the factorial of X.
    full_factorialfstats_experimental_designSubroutine
    Computes a table with values scaled from 1 to N describing a 
+full-factorial design.
    Read more…
    get_full_factorial_matrix_sizefstats_experimental_designSubroutine
    Computes the appropriate size for a full-factorial design table.
    incomplete_betafstats_special_functionsFunction
    Computes the incomplete beta function.
    Read more…
    incomplete_gamma_lowerfstats_special_functionsFunction
    Computes the lower incomplete gamma function.
    Read more…
    incomplete_gamma_upperfstats_special_functionsFunction
    Computes the upper incomplete gamma function.
    Read more…
    iteration_updatefstats_regressionInterface
    jacobianfstats_regressionSubroutine
    Computes the Jacobian matrix for a nonlinear regression problem.
    levenes_testfstats_hypothesisSubroutine
    Computes Levene's test statistic and associated probability.
    Read more…
    linear_least_squaresfstats_regressionSubroutine
    Computes a linear least-squares regression to fit a set of data.
    Read more…
    lowessfstats_smoothingSubroutine
    Computes the smoothing of a data set using a robust locally weighted
 scatterplot smoothing (LOWESS) algorithm.  Fitted values are computed at
-each of the supplied x values.
    Read more…
    meanfstats_descriptive_statisticsFunction
    Computes the mean of the values in an array.
    medianfstats_descriptive_statisticsFunction
    Computes the median of the values in an array.
    multivariate_distribution_functionfstats_distributionsInterface
    nonlinear_least_squaresfstats_regressionSubroutine
    Performs a nonlinear regression to fit a model using a version
-of the Levenberg-Marquardt algorithm.
    pooled_variancefstats_descriptive_statisticsInterface
    Computes the pooled estimate of variance.
    quantilefstats_descriptive_statisticsFunction
    Computes the specified quantile of a data set using the SAS 
-Method 4.
    Read more…
    r_squaredfstats_regressionFunction
    Computes the R-squared value for a data set.
    Read more…
    random_resamplefstats_bootstrapSubroutine
    Random resampling, with replacement, based upon a normal distribution.
    regression_functionfstats_regressionInterface
    regularized_betafstats_special_functionsFunction
    Computes the regularized beta function.
    Read more…
    rejection_samplefstats_samplingFunction
    Uses rejection sampling to randomly sample a target distribution.
    report_array_size_errorfstats_errorsSubroutine
    Reports an array size error.
    report_arrays_not_same_size_errorfstats_errorsSubroutine
    Reports an error relating to two arrays not being the same size
-when they should be the same size.
    report_iteration_count_errorfstats_errorsSubroutine
    Reports an iteration count error.
    report_matrix_size_errorfstats_errorsSubroutine
    Reports a matrix size error.
    report_memory_errorfstats_errorsSubroutine
    Reports a memory allocation related error.
    report_underdefined_errorfstats_errorsSubroutine
    Reports an underdefined problem error.
    sample_normal_multivariatefstats_samplingFunction
    Samples a multivariate normal distribution such that , where  is the lower form of the Cholesky 
 factorization of the covariance matrix, and  is a randomly 
 generated vector that exists on the set 
-
    sample_sizefstats_hypothesisFunction
    Estimates the sample size required to achieve an experiment with the
+
    sample_sizefstats_hypothesisFunction
    Estimates the sample size required to achieve an experiment with the
 desired power and significance levels to ascertain the desired 
-difference in parameter.
    Read more…
    scaled_random_resamplefstats_bootstrapSubroutine
    A random resampling, scaled by the standard deviation of the original
-data, but based upon a normal distribution.
    standard_deviationfstats_descriptive_statisticsFunction
    Computes the sample standard deviation of the values in an array.
    Read more…
    t_test_equal_variancefstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two data sets of 
-assumed equivalent variances.
    Read more…
    t_test_pairedfstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two paired data sets.
    Read more…
    t_test_unequal_variancefstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two data sets of 
-assumed non-equivalent variances.
    Read more…
    trimmed_meanfstats_descriptive_statisticsFunction
    Computes the trimmed mean of a data set.
    variancefstats_descriptive_statisticsFunction
    Computes the sample variance of the values in an array.
    Read more…
    scaled_random_resamplefstats_bootstrapSubroutine
    A random resampling, scaled by the standard deviation of the original
+data, but based upon a normal distribution.
    standard_deviationfstats_descriptive_statisticsFunction
    Computes the sample standard deviation of the values in an array.
    Read more…
    t_test_equal_variancefstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two data sets of 
+assumed equivalent variances.
    Read more…
    t_test_pairedfstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two paired data sets.
    Read more…
    t_test_unequal_variancefstats_hypothesisSubroutine
    Computes the 2-tailed Student's T-Test for two data sets of 
+assumed non-equivalent variances.
    Read more…
    trimmed_meanfstats_descriptive_statisticsFunction
    Computes the trimmed mean of a data set.
    variancefstats_descriptive_statisticsFunction
    Computes the sample variance of the values in an array.
    Read more…
    
 			 
    
              
         
    
@@ -459,27 +186,32 @@ 
    Procedures
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
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@@ -69,130 +91,43 @@ 
    Derived Types
    
 			 
 			 TypeLocationExtendsDescription
 			 
-			   
-                 anova_factor
-                 fstats_anova
-                 None
-                 
    Defines an ANOVA factor result.
    
-               
-			   
-                 array_container
-                 fstats_types
-                 None
-                 
    Provides a container for a real-valued array.  A practical use of
-this construct is in the construction of jagged arrays.
    
-               
-			   
-                 binomial_distribution
-                 fstats_distributions
-                 distribution
-                 
    Defines a binomial distribution.  The binomial distribution describes
-the probability p of getting k successes in n independent trials.
    
-               
-			   
-                 bootstrap_statistics
-                 fstats_bootstrap
-                 None
-                 
    A collection of statistics resulting from the bootstrap process.
    
-               
-			   
-                 chi_squared_distribution
-                 fstats_distributions
-                 distribution
-                 
    Defines a Chi-squared distribution.
    
-               
-			   
-                 convergence_info
-                 fstats_regression
-                 None
-                 
    Provides information regarding convergence status.
    
-               
-			   
-                 distribution
-                 fstats_distributions
-                 None
-                 
    Defines a probability distribution.
    
-               
-			   
-                 doe_model
-                 fstats_experimental_design
-                 None
-                 
    A model used to represent a design of experiments result.  The model
-is of the following form.
    Read more…
-               
-			   
-                 f_distribution
-                 fstats_distributions
-                 distribution
-                 
    Defines an F-distribution.
    
-               
-			   
-                 iteration_controls
-                 fstats_regression
-                 None
-                 
    Provides a collection of iteration control parameters.
    
-               
-			   
-                 lm_solver_options
-                 fstats_regression
-                 None
-                 
    Options to control the Levenberg-Marquardt solver.
    
-               
-			   
-                 metropolis_hastings
-                 fstats_mcmc
-                 None
-                 
    An implementation of the Metropolis-Hastings algorithm for the
+			   anova_factorfstats_anovaNone
    Defines an ANOVA factor result.
    
+			   array_containerfstats_typesNone
    Provides a container for a real-valued array.  A practical use of
+this construct is in the construction of jagged arrays.
    
+			   binomial_distributionfstats_distributionsdistribution
    Defines a binomial distribution.  The binomial distribution describes
+the probability p of getting k successes in n independent trials.
    
+			   bootstrap_statisticsfstats_bootstrapNone
    A collection of statistics resulting from the bootstrap process.
    
+			   chi_squared_distributionfstats_distributionsdistribution
    Defines a Chi-squared distribution.
    
+			   convergence_infofstats_regressionNone
    Provides information regarding convergence status.
    
+			   distributionfstats_distributionsNone
    Defines a probability distribution.
    
+			   doe_modelfstats_experimental_designNone
    A model used to represent a design of experiments result.  The model
+is of the following form.
    Read more…
+			   f_distributionfstats_distributionsdistribution
    Defines an F-distribution.
    
+			   iteration_controlsfstats_regressionNone
    Provides a collection of iteration control parameters.
    
+			   lm_solver_optionsfstats_regressionNone
    Options to control the Levenberg-Marquardt solver.
    
+			   log_normal_distributionfstats_distributionsdistribution
    Defines a normal distribution.
    
+			   mcmc_regressionfstats_mcmc_fittingmetropolis_hastings
    The mcmc_regression type extends the metropolis_hastings type to
+specifically target regression problems.  The problem is formulated
+such that the target distribution takes the form , where  is a normal
+distribution with  as the mean and the model variance, 
+ is determined by computing the variance for the current
+estimate of the model.
    
+			   metropolis_hastingsfstats_mcmcNone
    An implementation of the Metropolis-Hastings algorithm for the
 generation of a Markov chain.  This is a default implementation
 that allows sampling of normally distributed posterior distributions
 centered on zero with unit standard deviations.  Proposals are
 generated from a multivariate normal distribution with an identity
 covariance matrix and centered on zero.  To alter these sampling
 and target distributions simply create a new class inheriting from 
-this class and override the appropriate routines.
    
-               
-			   
-                 multivariate_distribution
-                 fstats_distributions
-                 None
-                 
    Defines a multivariate probability distribution.
    
-               
-			   
-                 multivariate_normal_distribution
-                 fstats_distributions
-                 multivariate_distribution
-                 
    Defines a multivariate normal (Gaussian) distribution.
    
-               
-			   
-                 normal_distribution
-                 fstats_distributions
-                 distribution
-                 
    Defines a normal distribution.
    
-               
-			   
-                 regression_statistics
-                 fstats_regression
-                 None
-                 
    A container for regression-related statistical information. 
    
-               
-			   
-                 single_factor_anova_table
-                 fstats_anova
-                 None
-                 
    Defines a single-factor ANOVA results table. 
    
-               
-			   
-                 t_distribution
-                 fstats_distributions
-                 distribution
-                 
    Defines Student's T-Distribution.
    
-               
-			   
-                 two_factor_anova_table
-                 fstats_anova
-                 None
-                 
    Defines a two-factor ANOVA results table.
    
-               
+this class and override the appropriate routines.
    
+			   multivariate_distributionfstats_distributionsNone
    Defines a multivariate probability distribution.
    
+			   multivariate_normal_distributionfstats_distributionsmultivariate_distribution
    Defines a multivariate normal (Gaussian) distribution.
    
+			   normal_distributionfstats_distributionsdistribution
    Defines a normal distribution.
    
+			   regression_statisticsfstats_regressionNone
    A container for regression-related statistical information. 
    
+			   single_factor_anova_tablefstats_anovaNone
    Defines a single-factor ANOVA results table. 
    
+			   t_distributionfstats_distributionsdistribution
    Defines Student's T-Distribution.
    
+			   two_factor_anova_tablefstats_anovaNone
    Defines a two-factor ANOVA results table.
    
 			 
              
         
    
@@ -201,27 +136,32 @@ 
    Derived Types
    
     
     
     
    
       
    
-        
    
-          
    FSTATS was developed by Jason Christopherson
    © 2025 
+        
    
+          
    FSTATS was developed by Jason Christopherson
    © 2025 
 
    
           
    
-          
    
-            
    
+          
    
+            
    
               Documentation generated by
               FORD
- on 2025-02-18 07:50              
    
+ on 2025-02-25 14:41              
    
           
    
         
    
         
    
       
     
     
    
 
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-    
-        
+    
+         
+    
+        
+        
+        
 
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+         
+
   
 
   
 
     
-    
    
-      
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+              
+            
+        
    
+      
    
+    
 
     
    
   
    
@@ -66,43 +88,39 @@ 
    fstats
       Module
       
     
    
-      
    
-    
    
-      
    
+      
    
+    
    
+      
    
         
-      
    
-      
    
-        
+        
      
+              
    1. fstats.f90
      2. 
+          
    2. fstats
      3. 
+        
    
       
    
     
    
   
    
   
 
   
    
 
   
    
-    
    
+