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Explore the differences between T-Test and ANOVA in statistics. Learn how to analyze scores of two experimental groups, population comparisons, and more for effective research. Understand key concepts such as F-distribution and Chi-square test.
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Statistics and Research methods Wiskunde voor HMI Bijeenkomst 5
t Test for Independent Means • Between-subjects design (two experimental groups) • Scores of two groups • Experimental group and control group • Use differences between means • Population 1: people in experimental group Population 2: people in control group • Comparison distribution: distribution of differences between means, μ = 0, δ unknown, estimate from samples →Sdifference • df = df1 + df2 with df1 =N1 – 1 ; df2 = N2 - 1
Analysis of variance (ANOVA) • Comparison of more than two groups • ANOVA used for two groups gives the same result as t-test for independent means • F distribution (F table) • F ratio = between-groups estimate of population variance / within-groups estimate of poputation variance • dfBetween = Ngroups – 1 • dfWithin = df1 + df2 + … + dfNgroups
Other issues on paper • CHI-square test • Reliability of measures • Factor analysis