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T distribution table

Dependent Means T Test T = M – 0 /Sm Like Z test only slightly more strict (.05 alpha requires >1.65) Why?. T distribution table. Calculating T. T test for independent means. T = (M1 – M2) / Sdifference Df total = df1 + df2 S 2 difference is S 2 m1 + S 2 m2 S 2 m1 is S 2 Pooled/N1

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T distribution table

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  1. Dependent Means T TestT = M – 0 /SmLike Z test only slightly more strict(.05 alpha requires >1.65)Why?

  2. T distribution table

  3. Calculating T

  4. T test for independent means T = (M1 – M2) / Sdifference Df total = df1 + df2 S2 difference is S2m1 + S2m2 S2m1 is S2Pooled/N1 S2Pooled is df1/df (S21) + df2/df (S22)

  5. One way ANOVA • Assumptions • Independence • Normality • Equal variance of groups • Calculations • Between groups variability: • S2B = Σ ni * (Mi – GM) 2 /dfB [dfB = NGroups-1] • Larger value means bigger gap between groups so increases reason to reject null hypothesis. Numerator of F • Within groups variability: • S2W = Σ (XiG –MG) 2 / dfW [dfW is sum of group df’s] • Larger value means more overlap so decreases reason to reject NH so is the denominator of F • F = S2B / S2W look up alpha criterion using dfB AND dfW

  6. One way ANOVA

  7. One way ANOVA

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