Cheatography

# Hypothesis Testing in R Cheat Sheet (DRAFT) by nmnpandey

This is a draft cheat sheet. It is a work in progress and is not finished yet.

### Formulate the Hypothesis

 Null Hypothesis H0 hypothesis that is being tested (and trying to be disproved) Alternate Hypothesis H1 represents the altern­ative value

### Hypothesis Testing for Mean of 1-Sample

 one sample t-test (μ0 (given) is population mean; μ is computed sample mean) H0 : μ = μ0, H1 : μ != μ0 t.test­(sa­mpl­e_v­ector , mu=pop­ula­tio­n_mean, altern­ati­ve=­”tw­o.s­ided”) Compare p-value with 𝞪 to check if H0 is rejected or not; Check test-s­tat­istic z if H0 is true; test for proportion (p (given) is population mean; μ is computed sample mean) H0 : μ = p, H1 : μ != p prop.t­est­(tr­ue_­pro­por­tion, n_prop­ortion, p=popu­lat­ion­_mean, altern­ative = ”less”) Compare p-value with 𝞪 to check if H0 is rejected or not; Check test-s­tat­istic z if H0 is true;

### Test for Normality

 Quantile Quantile Plot qqPlot­(ve­ctor) Check curve of qqplot Shapir­o-Wilks test H0 : x = N(μ,σ) and H1 : x != N(μ,σ) shapir­o.test Check p-value obtained from the test is < 0.05 then we reject H0 and assume the data is not normally distri­buted.

### Comparing Variances

 Fisher’s F test H0: the variances are the same; H1: they are different var.te­st(­vec­torA, vectorB) Check p-value; Check ratio if H0 is true.