@@ -563,61 +563,68 @@ title: "Table of Contents"
563563 &emsp ;&ensp ; 1.2.13. ** [ Cross-validated log Bayes factor] ( /P/ugkv-cvlbf ) ** <br >
564564 &emsp ;&ensp ; 1.2.14. ** [ Expectation of cross-validated log Bayes factor] ( /P/ugkv-cvlbfmean ) ** <br >
565565
566- 1.3. Simple linear regression <br >
567- &emsp ;&ensp ; 1.3.1. * [ Definition] ( /D/slr ) * <br >
568- &emsp ;&ensp ; 1.3.2. ** [ Special case of multiple linear regression] ( /P/slr-mlr ) ** <br >
569- &emsp ;&ensp ; 1.3.3. ** [ Ordinary least squares] ( /P/slr-ols ) ** (1) <br >
570- &emsp ;&ensp ; 1.3.4. ** [ Ordinary least squares] ( /P/slr-ols2 ) ** (2) <br >
571- &emsp ;&ensp ; 1.3.5. ** [ Expectation of estimates] ( /P/slr-olsmean ) ** <br >
572- &emsp ;&ensp ; 1.3.6. ** [ Variance of estimates] ( /P/slr-olsvar ) ** <br >
573- &emsp ;&ensp ; 1.3.7. ** [ Distribution of estimates] ( /P/slr-olsdist ) ** <br >
574- &emsp ;&ensp ; 1.3.8. ** [ Correlation of estimates] ( /P/slr-olscorr ) ** <br >
575- &emsp ;&ensp ; 1.3.9. ** [ Effects of mean-centering] ( /P/slr-meancent ) ** <br >
576- &emsp ;&ensp ; 1.3.10. * [ Regression line] ( /D/regline ) * <br >
577- &emsp ;&ensp ; 1.3.11. ** [ Regression line includes center of mass] ( /P/slr-comp ) ** <br >
578- &emsp ;&ensp ; 1.3.12. ** [ Projection of data point to regression line] ( /P/slr-proj ) ** <br >
579- &emsp ;&ensp ; 1.3.13. ** [ Sums of squares] ( /P/slr-sss ) ** <br >
580- &emsp ;&ensp ; 1.3.14. ** [ Transformation matrices] ( /P/slr-mat ) ** <br >
581- &emsp ;&ensp ; 1.3.15. ** [ Weighted least squares] ( /P/slr-wls ) ** (1) <br >
582- &emsp ;&ensp ; 1.3.16. ** [ Weighted least squares] ( /P/slr-wls2 ) ** (2) <br >
583- &emsp ;&ensp ; 1.3.17. ** [ Maximum likelihood estimation] ( /P/slr-mle ) ** (1) <br >
584- &emsp ;&ensp ; 1.3.18. ** [ Maximum likelihood estimation] ( /P/slr-mle2 ) ** (2) <br >
585- &emsp ;&ensp ; 1.3.19. ** [ Sum of residuals is zero] ( /P/slr-ressum ) ** <br >
586- &emsp ;&ensp ; 1.3.20. ** [ Correlation with covariate is zero] ( /P/slr-rescorr ) ** <br >
587- &emsp ;&ensp ; 1.3.21. ** [ Residual variance in terms of sample variance] ( /P/slr-resvar ) ** <br >
588- &emsp ;&ensp ; 1.3.22. ** [ Correlation coefficient in terms of slope estimate] ( /P/slr-corr ) ** <br >
589- &emsp ;&ensp ; 1.3.23. ** [ Coefficient of determination in terms of correlation coefficient] ( /P/slr-rsq ) ** <br >
590-
591- 1.4. Multiple linear regression <br >
592- &emsp ;&ensp ; 1.4.1. * [ Definition] ( /D/mlr ) * <br >
593- &emsp ;&ensp ; 1.4.2. ** [ Special case of general linear model] ( /P/mlr-glm ) ** <br >
594- &emsp ;&ensp ; 1.4.3. ** [ Ordinary least squares] ( /P/mlr-ols ) ** (1) <br >
595- &emsp ;&ensp ; 1.4.4. ** [ Ordinary least squares] ( /P/mlr-ols2 ) ** (2) <br >
596- &emsp ;&ensp ; 1.4.5. * [ Total sum of squares] ( /D/tss ) * <br >
597- &emsp ;&ensp ; 1.4.6. * [ Explained sum of squares] ( /D/ess ) * <br >
598- &emsp ;&ensp ; 1.4.7. * [ Residual sum of squares] ( /D/rss ) * <br >
599- &emsp ;&ensp ; 1.4.8. ** [ Total, explained and residual sum of squares] ( /P/mlr-pss ) ** <br >
600- &emsp ;&ensp ; 1.4.9. * [ Estimation matrix] ( /D/emat ) * <br >
601- &emsp ;&ensp ; 1.4.10. * [ Projection matrix] ( /D/pmat ) * <br >
602- &emsp ;&ensp ; 1.4.11. * [ Residual-forming matrix] ( /D/rfmat ) * <br >
603- &emsp ;&ensp ; 1.4.12. ** [ Estimation, projection and residual-forming matrix] ( /P/mlr-mat ) ** <br >
604- &emsp ;&ensp ; 1.4.13. ** [ Idempotence of projection and residual-forming matrix] ( /P/mlr-idem ) ** <br >
605- &emsp ;&ensp ; 1.4.14. ** [ Weighted least squares] ( /P/mlr-wls ) ** (1) <br >
606- &emsp ;&ensp ; 1.4.15. ** [ Weighted least squares] ( /P/mlr-wls2 ) ** (2) <br >
607- &emsp ;&ensp ; 1.4.16. ** [ Maximum likelihood estimation] ( /P/mlr-mle ) ** <br >
608- &emsp ;&ensp ; 1.4.17. ** [ Maximum log-likelihood] ( /P/mlr-mll ) ** <br >
609- &emsp ;&ensp ; 1.4.18. ** [ Deviance function] ( /P/mlr-dev ) ** <br >
610- &emsp ;&ensp ; 1.4.19. ** [ Akaike information criterion] ( /P/mlr-aic ) ** <br >
611- &emsp ;&ensp ; 1.4.20. ** [ Bayesian information criterion] ( /P/mlr-bic ) ** <br >
612- &emsp ;&ensp ; 1.4.21. ** [ Corrected Akaike information criterion] ( /P/mlr-aicc ) ** <br >
613-
614- 1.5. Bayesian linear regression <br >
615- &emsp ;&ensp ; 1.5.1. ** [ Conjugate prior distribution] ( /P/blr-prior ) ** <br >
616- &emsp ;&ensp ; 1.5.2. ** [ Posterior distribution] ( /P/blr-post ) ** <br >
617- &emsp ;&ensp ; 1.5.3. ** [ Log model evidence] ( /P/blr-lme ) ** <br >
618- &emsp ;&ensp ; 1.5.4. ** [ Deviance information criterion] ( /P/blr-dic ) ** <br >
619- &emsp ;&ensp ; 1.5.5. ** [ Posterior probability of alternative hypothesis] ( /P/blr-pp ) ** <br >
620- &emsp ;&ensp ; 1.5.6. ** [ Posterior credibility region excluding null hypothesis] ( /P/blr-pcr ) ** <br >
566+ 1.3. Analysis of variance <br >
567+ &emsp ;&ensp ; 1.3.1. * [ One-way ANOVA] ( /D/anova1 ) * <br >
568+ &emsp ;&ensp ; 1.3.2. ** [ Ordinary least squares for one-way ANOVA] ( /P/anova1-ols ) ** <br >
569+ &emsp ;&ensp ; 1.3.3. ** [ F-test for main effect in one-way ANOVA] ( /P/anova1-f ) ** <br >
570+ &emsp ;&ensp ; 1.3.4. * [ Two-way ANOVA] ( /D/anova2 ) * <br >
571+ &emsp ;&ensp ; 1.3.5. ** [ Ordinary least squares for two-way ANOVA] ( /P/anova2-ols ) ** <br >
572+
573+ 1.4. Simple linear regression <br >
574+ &emsp ;&ensp ; 1.4.1. * [ Definition] ( /D/slr ) * <br >
575+ &emsp ;&ensp ; 1.4.2. ** [ Special case of multiple linear regression] ( /P/slr-mlr ) ** <br >
576+ &emsp ;&ensp ; 1.4.3. ** [ Ordinary least squares] ( /P/slr-ols ) ** (1) <br >
577+ &emsp ;&ensp ; 1.4.4. ** [ Ordinary least squares] ( /P/slr-ols2 ) ** (2) <br >
578+ &emsp ;&ensp ; 1.4.5. ** [ Expectation of estimates] ( /P/slr-olsmean ) ** <br >
579+ &emsp ;&ensp ; 1.4.6. ** [ Variance of estimates] ( /P/slr-olsvar ) ** <br >
580+ &emsp ;&ensp ; 1.4.7. ** [ Distribution of estimates] ( /P/slr-olsdist ) ** <br >
581+ &emsp ;&ensp ; 1.4.8. ** [ Correlation of estimates] ( /P/slr-olscorr ) ** <br >
582+ &emsp ;&ensp ; 1.4.9. ** [ Effects of mean-centering] ( /P/slr-meancent ) ** <br >
583+ &emsp ;&ensp ; 1.4.10. * [ Regression line] ( /D/regline ) * <br >
584+ &emsp ;&ensp ; 1.4.11. ** [ Regression line includes center of mass] ( /P/slr-comp ) ** <br >
585+ &emsp ;&ensp ; 1.4.12. ** [ Projection of data point to regression line] ( /P/slr-proj ) ** <br >
586+ &emsp ;&ensp ; 1.4.13. ** [ Sums of squares] ( /P/slr-sss ) ** <br >
587+ &emsp ;&ensp ; 1.4.14. ** [ Transformation matrices] ( /P/slr-mat ) ** <br >
588+ &emsp ;&ensp ; 1.4.15. ** [ Weighted least squares] ( /P/slr-wls ) ** (1) <br >
589+ &emsp ;&ensp ; 1.4.16. ** [ Weighted least squares] ( /P/slr-wls2 ) ** (2) <br >
590+ &emsp ;&ensp ; 1.4.17. ** [ Maximum likelihood estimation] ( /P/slr-mle ) ** (1) <br >
591+ &emsp ;&ensp ; 1.4.18. ** [ Maximum likelihood estimation] ( /P/slr-mle2 ) ** (2) <br >
592+ &emsp ;&ensp ; 1.4.19. ** [ Sum of residuals is zero] ( /P/slr-ressum ) ** <br >
593+ &emsp ;&ensp ; 1.4.20. ** [ Correlation with covariate is zero] ( /P/slr-rescorr ) ** <br >
594+ &emsp ;&ensp ; 1.4.21. ** [ Residual variance in terms of sample variance] ( /P/slr-resvar ) ** <br >
595+ &emsp ;&ensp ; 1.4.22. ** [ Correlation coefficient in terms of slope estimate] ( /P/slr-corr ) ** <br >
596+ &emsp ;&ensp ; 1.4.23. ** [ Coefficient of determination in terms of correlation coefficient] ( /P/slr-rsq ) ** <br >
597+
598+ 1.5. Multiple linear regression <br >
599+ &emsp ;&ensp ; 1.5.1. * [ Definition] ( /D/mlr ) * <br >
600+ &emsp ;&ensp ; 1.5.2. ** [ Special case of general linear model] ( /P/mlr-glm ) ** <br >
601+ &emsp ;&ensp ; 1.5.3. ** [ Ordinary least squares] ( /P/mlr-ols ) ** (1) <br >
602+ &emsp ;&ensp ; 1.5.4. ** [ Ordinary least squares] ( /P/mlr-ols2 ) ** (2) <br >
603+ &emsp ;&ensp ; 1.5.5. * [ Total sum of squares] ( /D/tss ) * <br >
604+ &emsp ;&ensp ; 1.5.6. * [ Explained sum of squares] ( /D/ess ) * <br >
605+ &emsp ;&ensp ; 1.5.7. * [ Residual sum of squares] ( /D/rss ) * <br >
606+ &emsp ;&ensp ; 1.5.8. ** [ Total, explained and residual sum of squares] ( /P/mlr-pss ) ** <br >
607+ &emsp ;&ensp ; 1.5.9. * [ Estimation matrix] ( /D/emat ) * <br >
608+ &emsp ;&ensp ; 1.5.10. * [ Projection matrix] ( /D/pmat ) * <br >
609+ &emsp ;&ensp ; 1.5.11. * [ Residual-forming matrix] ( /D/rfmat ) * <br >
610+ &emsp ;&ensp ; 1.5.12. ** [ Estimation, projection and residual-forming matrix] ( /P/mlr-mat ) ** <br >
611+ &emsp ;&ensp ; 1.5.13. ** [ Idempotence of projection and residual-forming matrix] ( /P/mlr-idem ) ** <br >
612+ &emsp ;&ensp ; 1.5.14. ** [ Weighted least squares] ( /P/mlr-wls ) ** (1) <br >
613+ &emsp ;&ensp ; 1.5.15. ** [ Weighted least squares] ( /P/mlr-wls2 ) ** (2) <br >
614+ &emsp ;&ensp ; 1.5.16. ** [ Maximum likelihood estimation] ( /P/mlr-mle ) ** <br >
615+ &emsp ;&ensp ; 1.5.17. ** [ Maximum log-likelihood] ( /P/mlr-mll ) ** <br >
616+ &emsp ;&ensp ; 1.5.18. ** [ Deviance function] ( /P/mlr-dev ) ** <br >
617+ &emsp ;&ensp ; 1.5.19. ** [ Akaike information criterion] ( /P/mlr-aic ) ** <br >
618+ &emsp ;&ensp ; 1.5.20. ** [ Bayesian information criterion] ( /P/mlr-bic ) ** <br >
619+ &emsp ;&ensp ; 1.5.21. ** [ Corrected Akaike information criterion] ( /P/mlr-aicc ) ** <br >
620+
621+ 1.6. Bayesian linear regression <br >
622+ &emsp ;&ensp ; 1.6.1. ** [ Conjugate prior distribution] ( /P/blr-prior ) ** <br >
623+ &emsp ;&ensp ; 1.6.2. ** [ Posterior distribution] ( /P/blr-post ) ** <br >
624+ &emsp ;&ensp ; 1.6.3. ** [ Log model evidence] ( /P/blr-lme ) ** <br >
625+ &emsp ;&ensp ; 1.6.4. ** [ Deviance information criterion] ( /P/blr-dic ) ** <br >
626+ &emsp ;&ensp ; 1.6.5. ** [ Posterior probability of alternative hypothesis] ( /P/blr-pp ) ** <br >
627+ &emsp ;&ensp ; 1.6.6. ** [ Posterior credibility region excluding null hypothesis] ( /P/blr-pcr ) ** <br >
621628
6226292 . Multivariate normal data
623630
@@ -773,4 +780,4 @@ title: "Table of Contents"
773780 3.5. Bayesian model averaging <br >
774781 &emsp ;&ensp ; 3.5.1. * [ Definition] ( /D/bma ) * <br >
775782 &emsp ;&ensp ; 3.5.2. ** [ Derivation] ( /P/bma-der ) ** <br >
776- &emsp ;&ensp ; 3.5.3. ** [ Calculation from log model evidences] ( /P/bma-lme ) ** <br >
783+ &emsp ;&ensp ; 3.5.3. ** [ Calculation from log model evidences] ( /P/bma-lme ) ** <br >
0 commit comments