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add effect size
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379 changes: 379 additions & 0 deletions 12-Thinking.Rmd

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20 changes: 19 additions & 1 deletion InferenceHelpers.R
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all_df<-data.frame()
for(i in 1:1000){
for(n in c(10,20,50,100,1000)){
some_data<-rnorm(n,0.1,3)
some_data<-rnorm(n,0,1)
p_value<-t.test(some_data)$p.value
effect_size<-mean(some_data)/sd(some_data)
mean_scores<-mean(some_data)
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image_animate(new_gif, fps = 10,dispose="none")


## a different test

ss<-c()
for(i in 1:1000){
a<-rnorm(25,0,1)
b<-rnorm(25,10,1)
df<-data.frame(cond<-rep(c("a","b"),each=25),dv=c(a,b))
aov.out<-summary(aov(dv~cond,df))
ss[i]<-aov.out[[1]]$`Mean Sq`[2]
}

mean(ss)
sd(ss)
hist(ss)



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73 changes: 46 additions & 27 deletions docs/Correlation.html
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<li class="chapter" data-level="11.4" data-path="simulating-data.html"><a href="simulating-data.html#simulating-one-factor-anovas"><i class="fa fa-check"></i><b>11.4</b> Simulating one-factor ANOVAs</a></li>
<li class="chapter" data-level="11.5" data-path="simulating-data.html"><a href="simulating-data.html#other-resources"><i class="fa fa-check"></i><b>11.5</b> Other resources</a></li>
</ul></li>
<li class="chapter" data-level="12" data-path="gifs.html"><a href="gifs.html"><i class="fa fa-check"></i><b>12</b> GIFs</a><ul>
<li class="chapter" data-level="12.1" data-path="gifs.html"><a href="gifs.html#correlation-gifs"><i class="fa fa-check"></i><b>12.1</b> Correlation GIFs</a><ul>
<li class="chapter" data-level="12.1.1" data-path="gifs.html"><a href="gifs.html#n10-both-variables-drawn-from-a-uniform-distribution"><i class="fa fa-check"></i><b>12.1.1</b> N=10, both variables drawn from a uniform distribution</a></li>
<li class="chapter" data-level="12.1.2" data-path="gifs.html"><a href="gifs.html#correlation-between-random-deviates-from-uniform-distribution-across-four-sample-sizes"><i class="fa fa-check"></i><b>12.1.2</b> Correlation between random deviates from uniform distribution across four sample sizes</a></li>
<li class="chapter" data-level="12.1.3" data-path="gifs.html"><a href="gifs.html#correlation-between-random-deviates-from-normal-distribution-across-four-sample-sizes"><i class="fa fa-check"></i><b>12.1.3</b> Correlation between random deviates from normal distribution across four sample sizes</a></li>
<li class="chapter" data-level="12.1.4" data-path="gifs.html"><a href="gifs.html#correlation-between-x-and-y-variables-that-have-a-true-correlation-as-a-function-of-sample-size"><i class="fa fa-check"></i><b>12.1.4</b> Correlation between X and Y variables that have a true correlation as a function of sample-size</a></li>
<li class="chapter" data-level="12.1.5" data-path="gifs.html"><a href="gifs.html#type-i-errors-sampling-random-deviates-from-normal-distribution-with-regression-lines"><i class="fa fa-check"></i><b>12.1.5</b> Type I errors, sampling random deviates from normal distribution with regression lines</a></li>
<li class="chapter" data-level="12.1.6" data-path="gifs.html"><a href="gifs.html#cell-size-and-correlation"><i class="fa fa-check"></i><b>12.1.6</b> Cell-size and correlation</a></li>
<li class="chapter" data-level="12.1.7" data-path="gifs.html"><a href="gifs.html#regression"><i class="fa fa-check"></i><b>12.1.7</b> Regression</a></li>
</ul></li>
<li class="chapter" data-level="12.2" data-path="gifs.html"><a href="gifs.html#sampling-distributions"><i class="fa fa-check"></i><b>12.2</b> Sampling distributions</a><ul>
<li class="chapter" data-level="12.2.1" data-path="gifs.html"><a href="gifs.html#sampling-from-a-uniform-distribution"><i class="fa fa-check"></i><b>12.2.1</b> Sampling from a uniform distribution</a></li>
<li class="chapter" data-level="12.2.2" data-path="gifs.html"><a href="gifs.html#sampling-from-uniform-with-line-showing-expected-value-for-each-number"><i class="fa fa-check"></i><b>12.2.2</b> Sampling from uniform with line showing expected value for each number</a></li>
<li class="chapter" data-level="12.2.3" data-path="gifs.html"><a href="gifs.html#sampling-distribution-of-the-mean-normal-population-distribution-and-sample-histograms"><i class="fa fa-check"></i><b>12.2.3</b> Sampling distribution of the mean, Normal population distribution and sample histograms</a></li>
<li class="chapter" data-level="12.2.4" data-path="gifs.html"><a href="gifs.html#null-and-true-effect-samples-and-sampling-means"><i class="fa fa-check"></i><b>12.2.4</b> Null and True effect samples and sampling means</a></li>
</ul></li>
<li class="chapter" data-level="12.3" data-path="gifs.html"><a href="gifs.html#statistical-inference"><i class="fa fa-check"></i><b>12.3</b> Statistical Inference</a><ul>
<li class="chapter" data-level="12.3.1" data-path="gifs.html"><a href="gifs.html#randomization-test"><i class="fa fa-check"></i><b>12.3.1</b> Randomization Test</a></li>
<li class="chapter" data-level="12.3.2" data-path="gifs.html"><a href="gifs.html#independent-t-test-null"><i class="fa fa-check"></i><b>12.3.2</b> Independent t-test Null</a></li>
<li class="chapter" data-level="12.3.3" data-path="gifs.html"><a href="gifs.html#independent-t-test-true"><i class="fa fa-check"></i><b>12.3.3</b> Independent t-test True</a></li>
<li class="chapter" data-level="12.3.4" data-path="gifs.html"><a href="gifs.html#t-test-true-sample-size"><i class="fa fa-check"></i><b>12.3.4</b> T-test True sample-size</a></li>
<li class="chapter" data-level="12.3.5" data-path="gifs.html"><a href="gifs.html#one-factor-anova-null"><i class="fa fa-check"></i><b>12.3.5</b> one-factor ANOVA Null</a></li>
<li class="chapter" data-level="12.3.6" data-path="gifs.html"><a href="gifs.html#factorial-null"><i class="fa fa-check"></i><b>12.3.6</b> Factorial Null</a></li>
</ul></li>
<li class="chapter" data-level="12.4" data-path="gifs.html"><a href="gifs.html#distributions"><i class="fa fa-check"></i><b>12.4</b> Distributions</a><ul>
<li class="chapter" data-level="12.4.1" data-path="gifs.html"><a href="gifs.html#normal-changing-mean"><i class="fa fa-check"></i><b>12.4.1</b> Normal changing mean</a></li>
<li class="chapter" data-level="12.4.2" data-path="gifs.html"><a href="gifs.html#normal-changing-sd"><i class="fa fa-check"></i><b>12.4.2</b> Normal changing sd</a></li>
<li class="chapter" data-level="12" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html"><i class="fa fa-check"></i><b>12</b> Thinking about answering questions with data</a><ul>
<li class="chapter" data-level="12.1" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#effect-size-and-power"><i class="fa fa-check"></i><b>12.1</b> Effect-size and power</a><ul>
<li class="chapter" data-level="12.1.1" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#chance-vs.real-effects"><i class="fa fa-check"></i><b>12.1.1</b> Chance vs. real effects</a></li>
<li class="chapter" data-level="12.1.2" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#effect-size-concrete-vs.abstract-notions"><i class="fa fa-check"></i><b>12.1.2</b> Effect size: concrete vs. abstract notions</a></li>
<li class="chapter" data-level="12.1.3" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#cohens-d"><i class="fa fa-check"></i><b>12.1.3</b> Cohen’s d</a></li>
</ul></li>
<li class="chapter" data-level="12.2" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#power"><i class="fa fa-check"></i><b>12.2</b> Power</a><ul>
<li class="chapter" data-level="12.2.1" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#a-digresssion-about-hypothesis-testing"><i class="fa fa-check"></i><b>12.2.1</b> A digresssion about hypothesis testing</a></li>
<li class="chapter" data-level="12.2.2" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#back-to-power"><i class="fa fa-check"></i><b>12.2.2</b> Back to power</a></li>
<li class="chapter" data-level="12.2.3" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#power-curves"><i class="fa fa-check"></i><b>12.2.3</b> Power curves</a></li>
</ul></li>
<li class="chapter" data-level="12.3" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#planning-your-design"><i class="fa fa-check"></i><b>12.3</b> Planning your design</a></li>
<li class="chapter" data-level="12.4" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#some-considerations"><i class="fa fa-check"></i><b>12.4</b> Some considerations</a><ul>
<li class="chapter" data-level="12.4.1" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#low-powered-studies"><i class="fa fa-check"></i><b>12.4.1</b> Low powered studies</a></li>
<li class="chapter" data-level="12.4.2" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#large-n-and-small-effects"><i class="fa fa-check"></i><b>12.4.2</b> Large N and small effects</a></li>
<li class="chapter" data-level="12.4.3" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#small-n-and-large-effects"><i class="fa fa-check"></i><b>12.4.3</b> Small N and Large effects</a></li>
<li class="chapter" data-level="12.4.4" data-path="thinking-about-answering-questions-with-data.html"><a href="thinking-about-answering-questions-with-data.html#type-i-errors-are-convincing-when-n-is-small"><i class="fa fa-check"></i><b>12.4.4</b> Type I errors are convincing when N is small</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="13" data-path="gifs.html"><a href="gifs.html"><i class="fa fa-check"></i><b>13</b> GIFs</a><ul>
<li class="chapter" data-level="13.1" data-path="gifs.html"><a href="gifs.html#correlation-gifs"><i class="fa fa-check"></i><b>13.1</b> Correlation GIFs</a><ul>
<li class="chapter" data-level="13.1.1" data-path="gifs.html"><a href="gifs.html#n10-both-variables-drawn-from-a-uniform-distribution"><i class="fa fa-check"></i><b>13.1.1</b> N=10, both variables drawn from a uniform distribution</a></li>
<li class="chapter" data-level="13.1.2" data-path="gifs.html"><a href="gifs.html#correlation-between-random-deviates-from-uniform-distribution-across-four-sample-sizes"><i class="fa fa-check"></i><b>13.1.2</b> Correlation between random deviates from uniform distribution across four sample sizes</a></li>
<li class="chapter" data-level="13.1.3" data-path="gifs.html"><a href="gifs.html#correlation-between-random-deviates-from-normal-distribution-across-four-sample-sizes"><i class="fa fa-check"></i><b>13.1.3</b> Correlation between random deviates from normal distribution across four sample sizes</a></li>
<li class="chapter" data-level="13.1.4" data-path="gifs.html"><a href="gifs.html#correlation-between-x-and-y-variables-that-have-a-true-correlation-as-a-function-of-sample-size"><i class="fa fa-check"></i><b>13.1.4</b> Correlation between X and Y variables that have a true correlation as a function of sample-size</a></li>
<li class="chapter" data-level="13.1.5" data-path="gifs.html"><a href="gifs.html#type-i-errors-sampling-random-deviates-from-normal-distribution-with-regression-lines"><i class="fa fa-check"></i><b>13.1.5</b> Type I errors, sampling random deviates from normal distribution with regression lines</a></li>
<li class="chapter" data-level="13.1.6" data-path="gifs.html"><a href="gifs.html#cell-size-and-correlation"><i class="fa fa-check"></i><b>13.1.6</b> Cell-size and correlation</a></li>
<li class="chapter" data-level="13.1.7" data-path="gifs.html"><a href="gifs.html#regression"><i class="fa fa-check"></i><b>13.1.7</b> Regression</a></li>
</ul></li>
<li class="chapter" data-level="13.2" data-path="gifs.html"><a href="gifs.html#sampling-distributions"><i class="fa fa-check"></i><b>13.2</b> Sampling distributions</a><ul>
<li class="chapter" data-level="13.2.1" data-path="gifs.html"><a href="gifs.html#sampling-from-a-uniform-distribution"><i class="fa fa-check"></i><b>13.2.1</b> Sampling from a uniform distribution</a></li>
<li class="chapter" data-level="13.2.2" data-path="gifs.html"><a href="gifs.html#sampling-from-uniform-with-line-showing-expected-value-for-each-number"><i class="fa fa-check"></i><b>13.2.2</b> Sampling from uniform with line showing expected value for each number</a></li>
<li class="chapter" data-level="13.2.3" data-path="gifs.html"><a href="gifs.html#sampling-distribution-of-the-mean-normal-population-distribution-and-sample-histograms"><i class="fa fa-check"></i><b>13.2.3</b> Sampling distribution of the mean, Normal population distribution and sample histograms</a></li>
<li class="chapter" data-level="13.2.4" data-path="gifs.html"><a href="gifs.html#null-and-true-effect-samples-and-sampling-means"><i class="fa fa-check"></i><b>13.2.4</b> Null and True effect samples and sampling means</a></li>
</ul></li>
<li class="chapter" data-level="13.3" data-path="gifs.html"><a href="gifs.html#statistical-inference"><i class="fa fa-check"></i><b>13.3</b> Statistical Inference</a><ul>
<li class="chapter" data-level="13.3.1" data-path="gifs.html"><a href="gifs.html#randomization-test"><i class="fa fa-check"></i><b>13.3.1</b> Randomization Test</a></li>
<li class="chapter" data-level="13.3.2" data-path="gifs.html"><a href="gifs.html#independent-t-test-null"><i class="fa fa-check"></i><b>13.3.2</b> Independent t-test Null</a></li>
<li class="chapter" data-level="13.3.3" data-path="gifs.html"><a href="gifs.html#independent-t-test-true"><i class="fa fa-check"></i><b>13.3.3</b> Independent t-test True</a></li>
<li class="chapter" data-level="13.3.4" data-path="gifs.html"><a href="gifs.html#t-test-true-sample-size"><i class="fa fa-check"></i><b>13.3.4</b> T-test True sample-size</a></li>
<li class="chapter" data-level="13.3.5" data-path="gifs.html"><a href="gifs.html#one-factor-anova-null"><i class="fa fa-check"></i><b>13.3.5</b> one-factor ANOVA Null</a></li>
<li class="chapter" data-level="13.3.6" data-path="gifs.html"><a href="gifs.html#factorial-null"><i class="fa fa-check"></i><b>13.3.6</b> Factorial Null</a></li>
</ul></li>
<li class="chapter" data-level="13.4" data-path="gifs.html"><a href="gifs.html#distributions"><i class="fa fa-check"></i><b>13.4</b> Distributions</a><ul>
<li class="chapter" data-level="13.4.1" data-path="gifs.html"><a href="gifs.html#normal-changing-mean"><i class="fa fa-check"></i><b>13.4.1</b> Normal changing mean</a></li>
<li class="chapter" data-level="13.4.2" data-path="gifs.html"><a href="gifs.html#normal-changing-sd"><i class="fa fa-check"></i><b>13.4.2</b> Normal changing sd</a></li>
</ul></li>
</ul></li>
<li class="divider"></li>
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