Accuracy

Each of 124 statistical methods is compared with reference results, most of them published worked examples. Every method passed at the tolerances recorded for it.

The check compared 497 cases, with 8,394 numerical comparisons and 716 exact comparisons. It ran on 2026-11-06, and the source files of the statistical engine have not changed since.

These figures describe the listed cases and not every possible input. Agreement is against stored reference numbers, so a rounded published figure or a simulation can agree to fewer digits and still pass. No statistician has yet reviewed the methods for DBARDO LTD, and this page is not a certification.

The methods

124 methods, each with the number of reference cases and of comparisons
MethodCasesComparisons
Analyse a response surface design4117
Analyse a two-level factorial design358
Anderson–Darling normality24
Attribute agreement study122
Attribute gage aiag6140
Average and range chart425
Average and standard deviation chart426
Bartlett variance test12
Best subsets regression222
Binary logistic categorical224
Binary logistic regression6245
Binary probit regression241
Binomial capability5198
Bonett two variance test424
Bonett variance test321
Box-Cox process capability316
Capability sixpack540
Chi-square association25
Chi-square goodness of fit36
Control chart boxcox7106
Control chart g214
Control chart imr rs368
Control chart median10213
Control chart moving average348
Control chart t321
Control chart zmr255
Create a response surface design674
Create a two-level factorial design320
Cross tabulation17
Crossed measurement system study223
Defect count chart529
Defects and yield38
Defects per unit chart423
Descriptive statistics26
Discriminant analysis351
Distribution identification969
Dixon test412
Equivalence one sample ttest339
Equivalence paired ttest226
Equivalence two sample ttest452
Exponentially weighted moving-average chart123
Factor analysis5167
Fisher exact test39131
Friedman test212
Gage linearity bias280
Gage rr expanded389
Gauge comparison226
General factorial analysis185
General factorial design13
General linear model8618
General linear model mixed6106
Grubbs test312
Individuals and moving-range chart734
Johnson process capability859
Kruskal–Wallis test24
Laney P-prime chart15
Laney U-prime chart16
Latin square analysis1112
Latin square design12
Levene and Brown–Forsythe variance test12
Lilliefors312
Lognormal process capability638
Mann–Whitney test949
Manova244
Mixture analysis3307
Mixture design28
Model reduction226
Mood median test24
Multiple linear regression8262
Nested measurement system study219
Nominal logistic regression248
Normal process capability217
Number nonconforming chart419
One-proportion test26
One-sample Poisson rate test310
One-sample sign test25
One-sample t test314
One-sample Wilcoxon test36
One-sample Z test460
One-variance chi-square test585
One-way analysis of variance12245
Ordinal attribute agreement6168
Ordinal logistic regression236
Ordinal probit regression236
Paired t test314
Pearson correlation316
Plackett burman design72,191
Poisson capability4280
Poisson regression232
Power equivalence one sample536
Power equivalence paired536
Power equivalence two sample965
Power for one mean12
Power for one proportion44
Power for two means12
Power for two proportions22
Power one variance632
Power one way anova319
Power two level factorial425
Power two variances632
Principal components226
Process capability between within218
Proportion nonconforming chart423
Randomised block analysis175
Randomised block design12
Regression categorical222
Response optimiser1050
Runs tests24
Sample size for a chosen margin29203
Shapiro wilk24
Simple linear regression666
Spearman correlation24
Statistical tolerancing214
Stepwise regression330
Tabular cumulative-sum chart143
Taguchi analysis360
Taguchi design525
Tolerance interval728
Two-proportions test45
Two-sample t test628
Two-variance F test15
Two-way analysis of variance3451
Type 1 gage study17
Weibull process capability429

The sources

Each reference result comes from a published worked example or from a calculation made separately from Incra's own code. These are the pages that the cases cite.