Assignment 3 results

# Assignment 3 results - Dataset AreaA 1.2 1 0.9 1.4 AreaB...

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Data set: Area A Area B 1.2 0.7 1 1 0.9 0.5 1.4 0.6 0.4 Q: Difference at a CI=90% 1. Are the variances similar? F-test for variance Variable 1 Variable 2 Mean 1.13 0.64 Variance 0.05 0.05 Observations 4 5 df 3 4 F 0.93 P(F<=f) one-tail 0.5 F Critical one-tail 0.19 F-Test Two-Sample for Variances Descriptive Statistics VAR Sample size Mean dard Error (of M Area A 4 1.125 0.11087 Area B 5 0.64 0.10296 Summary F-crit. value 0.92767 P(F<=f)(Probability, corresponding to Fisher c 0.49528 F larger than critical = thus variance equal statistically (same info provided by the p; larger than 0.05 a Thus we are allowed to test the means difference  Are the two data sets statistically different at a CI=90%? NOTE: if only two data sets are compared then T-test equivalent to ANOVA!!! NOTE: F-ratio obained in the ANOVA table is the ratio of MS (mean square difference between  While it may be interpreted the same way the regular F is it wioll not be equivalent to the manu t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 1.13 0.64 Variance 0.05 0.05 Observations 4 5 Pooled Variance 0.05 Hypothesized Mean Differen 0

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df 7 t Stat 3.19 P(T<=t) one-tail 0.01 t Critical one-tail 1.41 P(T<=t) two-tail 0.02 t Critical two-tail 1.89 Comparing Means [ With T-Test Assuming Equal Variances (homoscedastic) ] Descriptive Statistics VAR Sample size Mean Variance Series #1 4 1.125 0.04917 Series #2 5 0.64 0.053 Summary Degrees Of Freedom 7 Hypothesized Mean Difference ### T-criter. value 3.19033 Pooled Variance 0.05136 Two-Tailed Distribution P(T<=t)Probability, correspo 0.01527 Critical Value (5%) 2.36462
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Assignment 3 results - Dataset AreaA 1.2 1 0.9 1.4 AreaB...

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