Let N SUM ni ie N total number of data in all samples Then the degrees of

Let n sum ni ie n total number of data in all samples

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BUSI 1013: S TATISTICS FOR B USINESS 3 ANOVA table Source SS DF MS F Treatments SST k-1 SST / (k-1) MST/MSE Error SSE N-k SSE / (N-k) Total (corrected) SS N-1 The word "source" stands for source of variation. Some authors prefer to use "between" and "within" instead of "treatments" and "error", respectively. What about X^2 test? Here are also, simple samples on F and X-tests to clearly show the steps and processes: The examples on ANOVA test are taken from Elementary Statistics book by M. Ghamsary, Ph.D. [public domain]. The information is for educational purposes only. Next, Examples on X^2 and F-tests.
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BUSI 1013: S TATISTICS FOR B USINESS 4
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BUSI 1013: S TATISTICS FOR B USINESS 5
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BUSI 1013: S TATISTICS FOR B USINESS 6 AN alysis O f Va riance Test, ANOVA for F-test
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BUSI 1013: S TATISTICS FOR B USINESS 7 F statistcs, 4.7 > Fcv, 3.68
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Here is also a general overview of proportional test on this week’s topics of assignment: Two-sample z-test for difference of population proportions Why? To compare two unknown population proportions, p1and pWhen? The following conditions must be present for the test to be accurate and valid. Conditions 1 and 2 may have to be assumedto proceed with the test. 1.The samples are selected randomly. 2.The samples are selected independently. 3.Both samples are large enough so that the populations of proportions are normally distributed (At least 5 successes and 5 failures in each sample). How: Preliminary: • Select the level of significance, (use 0.05 unless otherwise stated). • Define p1andp2in the context of the problem. 1. State the null hypothesis: H0: p1= Choose an alternative hypothesis from one of the following: (i.) H1: p1> p2(ii.) BUSI 1013: S TATISTICS FOR B USINESS 8 2 . p 2 p 1 p 2
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