@@ -479,30 +479,44 @@ title: "Table of Contents"
479479 &emsp ;&ensp ; 1.2.12. ** [ Cross-validated log model evidence] ( /P/ugkv-cvlme ) ** <br >
480480 &emsp ;&ensp ; 1.2.13. ** [ Cross-validated log Bayes factor] ( /P/ugkv-cvlbf ) ** <br >
481481 &emsp ;&ensp ; 1.2.14. ** [ Expectation of cross-validated log Bayes factor] ( /P/ugkv-cvlbfmean ) ** <br >
482-
483- 1.3. Multiple linear regression <br >
484- &emsp ;&ensp ; 1.3.1. * [ Definition] ( /D/mlr ) * <br >
485- &emsp ;&ensp ; 1.3.2. ** [ Ordinary least squares] ( /P/mlr-ols ) ** (1) <br >
486- &emsp ;&ensp ; 1.3.3. ** [ Ordinary least squares] ( /P/mlr-ols2 ) ** (2) <br >
487- &emsp ;&ensp ; 1.3.4. * [ Total sum of squares] ( /D/tss ) * <br >
488- &emsp ;&ensp ; 1.3.5. * [ Explained sum of squares] ( /D/ess ) * <br >
489- &emsp ;&ensp ; 1.3.6. * [ Residual sum of squares] ( /D/rss ) * <br >
490- &emsp ;&ensp ; 1.3.7. ** [ Total, explained and residual sum of squares] ( /P/mlr-pss ) ** <br >
491- &emsp ;&ensp ; 1.3.8. * [ Estimation matrix] ( /D/emat ) * <br >
492- &emsp ;&ensp ; 1.3.9. * [ Projection matrix] ( /D/pmat ) * <br >
493- &emsp ;&ensp ; 1.3.10. * [ Residual-forming matrix] ( /D/rfmat ) * <br >
494- &emsp ;&ensp ; 1.3.11. ** [ Estimation, projection and residual-forming matrix] ( /P/mlr-mat ) ** <br >
495- &emsp ;&ensp ; 1.3.12. ** [ Idempotence of projection and residual-forming matrix] ( /P/mlr-idem ) ** <br >
496- &emsp ;&ensp ; 1.3.13. ** [ Weighted least squares] ( /P/mlr-wls ) ** (1) <br >
497- &emsp ;&ensp ; 1.3.14. ** [ Weighted least squares] ( /P/mlr-wls2 ) ** (2) <br >
498- &emsp ;&ensp ; 1.3.15. ** [ Maximum likelihood estimation] ( /P/mlr-mle ) ** <br >
499-
500- 1.4. Bayesian linear regression <br >
501- &emsp ;&ensp ; 1.4.1. ** [ Conjugate prior distribution] ( /P/blr-prior ) ** <br >
502- &emsp ;&ensp ; 1.4.2. ** [ Posterior distribution] ( /P/blr-post ) ** <br >
503- &emsp ;&ensp ; 1.4.3. ** [ Log model evidence] ( /P/blr-lme ) ** <br >
504- &emsp ;&ensp ; 1.4.4. ** [ Posterior probability of alternative hypothesis] ( /P/blr-pp ) ** <br >
505- &emsp ;&ensp ; 1.4.5. ** [ Posterior credibility region excluding null hypothesis] ( /P/blr-pcr ) ** <br >
482+
483+ 1.3. Simple linear regression <br >
484+ &emsp ;&ensp ; 1.3.1. * [ Definition] ( /D/slr ) * <br >
485+ &emsp ;&ensp ; 1.3.2. * [ Regression line] ( /D/regline ) * <br >
486+ &emsp ;&ensp ; 1.3.3. ** [ Ordinary least squares] ( /P/slr-ols ) ** <br >
487+ &emsp ;&ensp ; 1.3.4. ** [ Expectation of estimates] ( /P/slr-olsmean ) ** <br >
488+ &emsp ;&ensp ; 1.3.5. ** [ Variance of estimates] ( /P/slr-olsvar ) ** <br >
489+ &emsp ;&ensp ; 1.3.6. ** [ Effects of mean-centering] ( /P/slr-meancent ) ** <br >
490+ &emsp ;&ensp ; 1.3.7. ** [ Regression line includes center of mass] ( /P/slr-comp ) ** <br >
491+ &emsp ;&ensp ; 1.3.8. ** [ Sum of residuals is zero] ( /P/slr-ressum ) ** <br >
492+ &emsp ;&ensp ; 1.3.9. ** [ Correlation with covariate is zero] ( /P/slr-rescorr ) ** <br >
493+ &emsp ;&ensp ; 1.3.10. ** [ Residual variance in terms of sample variance] ( /P/slr-vars ) ** <br >
494+ &emsp ;&ensp ; 1.3.11. ** [ Correlation coefficient in terms of slope estimate] ( /P/slr-corr ) ** <br >
495+ &emsp ;&ensp ; 1.3.12. ** [ Coefficient of determination in terms of correlation coefficient] ( /P/slr-rsq ) ** <br >
496+
497+ 1.4. Multiple linear regression <br >
498+ &emsp ;&ensp ; 1.4.1. * [ Definition] ( /D/mlr ) * <br >
499+ &emsp ;&ensp ; 1.4.2. ** [ Ordinary least squares] ( /P/mlr-ols ) ** (1) <br >
500+ &emsp ;&ensp ; 1.4.3. ** [ Ordinary least squares] ( /P/mlr-ols2 ) ** (2) <br >
501+ &emsp ;&ensp ; 1.4.4. * [ Total sum of squares] ( /D/tss ) * <br >
502+ &emsp ;&ensp ; 1.4.5. * [ Explained sum of squares] ( /D/ess ) * <br >
503+ &emsp ;&ensp ; 1.4.6. * [ Residual sum of squares] ( /D/rss ) * <br >
504+ &emsp ;&ensp ; 1.4.7. ** [ Total, explained and residual sum of squares] ( /P/mlr-pss ) ** <br >
505+ &emsp ;&ensp ; 1.4.8. * [ Estimation matrix] ( /D/emat ) * <br >
506+ &emsp ;&ensp ; 1.4.9. * [ Projection matrix] ( /D/pmat ) * <br >
507+ &emsp ;&ensp ; 1.4.10. * [ Residual-forming matrix] ( /D/rfmat ) * <br >
508+ &emsp ;&ensp ; 1.4.11. ** [ Estimation, projection and residual-forming matrix] ( /P/mlr-mat ) ** <br >
509+ &emsp ;&ensp ; 1.4.12. ** [ Idempotence of projection and residual-forming matrix] ( /P/mlr-idem ) ** <br >
510+ &emsp ;&ensp ; 1.4.13. ** [ Weighted least squares] ( /P/mlr-wls ) ** (1) <br >
511+ &emsp ;&ensp ; 1.4.14. ** [ Weighted least squares] ( /P/mlr-wls2 ) ** (2) <br >
512+ &emsp ;&ensp ; 1.4.15. ** [ Maximum likelihood estimation] ( /P/mlr-mle ) ** <br >
513+
514+ 1.5. Bayesian linear regression <br >
515+ &emsp ;&ensp ; 1.5.1. ** [ Conjugate prior distribution] ( /P/blr-prior ) ** <br >
516+ &emsp ;&ensp ; 1.5.2. ** [ Posterior distribution] ( /P/blr-post ) ** <br >
517+ &emsp ;&ensp ; 1.5.3. ** [ Log model evidence] ( /P/blr-lme ) ** <br >
518+ &emsp ;&ensp ; 1.5.4. ** [ Posterior probability of alternative hypothesis] ( /P/blr-pp ) ** <br >
519+ &emsp ;&ensp ; 1.5.5. ** [ Posterior credibility region excluding null hypothesis] ( /P/blr-pcr ) ** <br >
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5075212 . Multivariate normal data
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