A quick note about recovering the spectrum

Intro | Methodology | Implementation

Things that can go wrong | False positives | False negatives | Examples | Z-test | Power for Z-test

Problem setup | Null hypothesis and test statistic | Calculating p-values | Using the binom.test() function

Problem setup | Assumption checking | Null hypothesis and test statistic | Calculating p-values | Using the t.test() function

Problem setup | Assumption checking | Null hypothesis and test statistic | Calculating p-values | Rejection regions | Power and sample size calculations | Formulas for power | Formulas for sample size calculations

Problem setup | Assumption checking | Null hypothesis and test statistic | Calculating p-values | One-sided Z-tests

Using the t.test() function

Problem setup | Working with the differences | Paired tests versus two sample tests | Paired Z-test | Paired T-test | Paired sign-test

The Poisson distribution | Goals in the 2018 FIFA World Cup | Basic fitted distribution | Poisson regression and probabilistic forecasting | Further details and extensions | Technical details: Maximum likelihood estimation of $\lambda$ | References

Problem setup | Assumption checking | Null hypothesis and test statistic | Calculating p-values