PSYC 2022 Chapter Notes - Chapter 12: Factorial Experiment, Studentized Range, Squared Deviations From The Mean
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Why the f is expected to be near 1. 00 when ho is true: When there is no treatment effect, the numerator and the denominator of the f-ratio are both measuring the same sources of variability (random, unsystematic differences from sampling error). In this case, the f-ratio is balanced and should have a value near 1. 00. S imila iritie s bw f-ra tio a nd t-s ta t: Factors influence size of f certain aspects affect the num and others the den. As the differences bw sample means increase, msbetween also increases, and the f increases. With 3 or more treatment conditions, you need three or more t tests to evaluate all the mean differences. Each test involves a risk of a type i error. The more tests you do, the more risk there is of a type i error. The anova performs all of the tests simultaneously with a single, fixed alpha level.