updated index pages

The index pages were updated with the recently added proofs/definitions.

Author: JoramSoch

I/PbA.md

@@ -8,7 +8,7 @@ title: "Proof by Author"
 
 - [Covariance matrix of the multinomial distribution](/P/mult-cov)
 
-### JoramSoch (355 proofs)
+### JoramSoch (361 proofs)
 
 - [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
 - [Accuracy and complexity for the univariate Gaussian with known variance](/P/ugkv-anc)
@@ -18,6 +18,7 @@ title: "Proof by Author"
 - [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
 - [Additivity of the variance for independent random variables](/P/var-add)
 - [Akaike information criterion for multiple linear regression](/P/mlr-aic)
+- [Application of Cochran's theorem to two-way analysis of variance](/P/anova2-cochran)
 - [Bayes' rule](/P/bayes-rule)
 - [Bayes' theorem](/P/bayes-th)
 - [Bayesian information criterion for multiple linear regression](/P/mlr-bic)
@@ -105,6 +106,8 @@ title: "Proof by Author"
 - [Expression of the cumulative distribution function of the normal distribution without the error function](/P/norm-cdfwerf)
 - [Expression of the probability mass function of the beta-binomial distribution using only the gamma function](/P/betabin-pmfitogf)
 - [Extreme points of the probability density function of the normal distribution](/P/norm-extr)
+- [F-statistic in terms of ordinary least squares estimates in one-way analysis of variance](/P/anova1-fols)
+- [F-statistics in terms of ordinary least squares estimates in two-way analysis of variance](/P/anova2-fols)
 - [F-test for grand mean in two-way analysis of variance](/P/anova2-fgm)
 - [F-test for interaction in two-way analysis of variance](/P/anova2-fia)
 - [F-test for main effect in one-way analysis of variance](/P/anova1-f)
@@ -228,7 +231,9 @@ title: "Proof by Author"
 - [Parameters of the corresponding forward model](/P/cfm-para)
 - [Partition of a covariance matrix into expected values](/P/covmat-mean)
 - [Partition of covariance into expected values](/P/cov-mean)
+- [Partition of sums of squares in one-way analysis of variance](/P/anova1-pss)
 - [Partition of sums of squares in ordinary least squares](/P/mlr-pss)
+- [Partition of sums of squares in two-way analysis of variance](/P/anova2-pss)
 - [Partition of the log model evidence into accuracy and complexity](/P/lme-anc)
 - [Partition of the mean squared error into bias and variance](/P/mse-bnv)
 - [Partition of variance into expected values](/P/var-mean)
@@ -327,6 +332,7 @@ title: "Proof by Author"
 - [Relationship between residual variance and sample variance in simple linear regression](/P/slr-resvar)
 - [Relationship between second raw moment, variance and mean](/P/momraw-2nd)
 - [Relationship between signal-to-noise ratio and R²](/P/snr-rsq)
+- [Reparametrization for one-way analysis of variance](/P/anova1-repara)
 - [Sampling from the matrix-normal distribution](/P/matn-samp)
 - [Sampling from the normal-gamma distribution](/P/ng-samp)
 - [Scaling of the covariance matrix upon multiplication with constant matrix](/P/covmat-scal)

I/PbN.md

@@ -380,3 +380,9 @@ title: "Proof by Number"
 | P372 | anova2-fme | [F-test for main effect in two-way analysis of variance](/P/anova2-fme) | JoramSoch | 2022-11-10 |
 | P373 | anova2-fia | [F-test for interaction in two-way analysis of variance](/P/anova2-fia) | JoramSoch | 2022-11-11 |
 | P374 | anova2-fgm | [F-test for grand mean in two-way analysis of variance](/P/anova2-fgm) | JoramSoch | 2022-11-11 |
+| P375 | anova1-repara | [Reparametrization for one-way analysis of variance](/P/anova1-repara) | JoramSoch | 2022-11-15 |
+| P376 | anova1-pss | [Partition of sums of squares in one-way analysis of variance](/P/anova1-pss) | JoramSoch | 2022-11-15 |
+| P377 | anova1-fols | [F-statistic in terms of ordinary least squares estimates in one-way analysis of variance](/P/anova1-fols) | JoramSoch | 2022-11-15 |
+| P378 | anova2-cochran | [Application of Cochran's theorem to two-way analysis of variance](/P/anova2-cochran) | JoramSoch | 2022-11-16 |
+| P379 | anova2-pss | [Partition of sums of squares in two-way analysis of variance](/P/anova2-pss) | JoramSoch | 2022-11-16 |
+| P380 | anova2-fols | [F-statistics in terms of ordinary least squares estimates in two-way analysis of variance](/P/anova2-fols) | JoramSoch | 2022-11-16 |

I/PbT.md

@@ -14,6 +14,7 @@ title: "Proof by Topic"
 - [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
 - [Additivity of the variance for independent random variables](/P/var-add)
 - [Akaike information criterion for multiple linear regression](/P/mlr-aic)
+- [Application of Cochran's theorem to two-way analysis of variance](/P/anova2-cochran)
 
 ### B
 
@@ -120,6 +121,8 @@ title: "Proof by Topic"
 
 ### F
 
+- [F-statistic in terms of ordinary least squares estimates in one-way analysis of variance](/P/anova1-fols)
+- [F-statistics in terms of ordinary least squares estimates in two-way analysis of variance](/P/anova2-fols)
 - [F-test for grand mean in two-way analysis of variance](/P/anova2-fgm)
 - [F-test for interaction in two-way analysis of variance](/P/anova2-fia)
 - [F-test for main effect in one-way analysis of variance](/P/anova1-f)
@@ -277,7 +280,9 @@ title: "Proof by Topic"
 - [Parameters of the corresponding forward model](/P/cfm-para)
 - [Partition of a covariance matrix into expected values](/P/covmat-mean)
 - [Partition of covariance into expected values](/P/cov-mean)
+- [Partition of sums of squares in one-way analysis of variance](/P/anova1-pss)
 - [Partition of sums of squares in ordinary least squares](/P/mlr-pss)
+- [Partition of sums of squares in two-way analysis of variance](/P/anova2-pss)
 - [Partition of the log model evidence into accuracy and complexity](/P/lme-anc)
 - [Partition of the mean squared error into bias and variance](/P/mse-bnv)
 - [Partition of variance into expected values](/P/var-mean)
@@ -386,6 +391,7 @@ title: "Proof by Topic"
 - [Relationship between residual variance and sample variance in simple linear regression](/P/slr-resvar)
 - [Relationship between second raw moment, variance and mean](/P/momraw-2nd)
 - [Relationship between signal-to-noise ratio and R²](/P/snr-rsq)
+- [Reparametrization for one-way analysis of variance](/P/anova1-repara)
 
 ### S
 

I/PwS.md

@@ -37,6 +37,8 @@ title: "Proofs without Source"
 - [Expectation of the cross-validated log Bayes factor for the univariate Gaussian with known variance](/P/ugkv-cvlbfmean)
 - [Expectation of the log Bayes factor for the univariate Gaussian with known variance](/P/ugkv-lbfmean)
 - [Exponential distribution is a special case of gamma distribution](/P/exp-gam)
+- [F-statistic in terms of ordinary least squares estimates in one-way analysis of variance](/P/anova1-fols)
+- [F-statistics in terms of ordinary least squares estimates in two-way analysis of variance](/P/anova2-fols)
 - [First raw moment is mean](/P/momraw-1st)
 - [Gamma distribution is a special case of Wishart distribution](/P/gam-wish)
 - [Joint likelihood is the product of likelihood function and prior density](/P/jl-lfnprior)

P/anova1-fols.md

@@ -7,7 +7,7 @@ affiliation: "BCCN Berlin"
 e_mail: "joram.soch@bccn-berlin.de"
 date: 2022-11-15 17:35:00
 
-title: "F-statistic for main effect in terms of ordinary least squares estimates in one-way analysis of variance"
+title: "F-statistic in terms of ordinary least squares estimates in one-way analysis of variance"
 chapter: "Statistical Models"
 section: "Univariate normal data"
 topic: "Analysis of variance"

P/anova2-fgm.md

@@ -11,7 +11,7 @@ title: "F-test for grand mean in two-way analysis of variance"
 chapter: "Statistical Models"
 section: "Univariate normal data"
 topic: "Analysis of variance"
-theorem: "F-test for interaction in two-way ANOVA"
+theorem: "F-test for grand mean in two-way ANOVA"
 
 sources:
   - authors: "Nandy, Siddhartha"