Hypothesis test using one-way anova

Assignment Help Basic Statistics

Reference no: EM1318043

In this part you will be considering four different scenarios to which one-way ANOVA has been applied. Four StatTools one-Way ANOVA summary tables for these scenarios are supplied for you. One of the scenarios is not legitimate for using One-way ANOVA. Your task is to match the scenarios with the summary tables and to identify the result that is not reliable. You must explain why the particular ANOVA summary table belongs with the scenario you chose, and why the one result is not reliable.

Each scenario involves randomly selecting n_i observations from four, independent, Normal populations as described.

Scenario
1		2		3		4
Population	n_i	Population	n_i	Population	n_i	Population	n_i
N(50, 4)	10	N(50, 4)	10	N(50, 7)	10	N(50, 4)	10
N(50, 4)	10	N(60, 4)	8	N(50, 7)	10	N(60, 7)	10
N(50, 4)	10	N(50, 4)	12	N(50, 7)	10	N(50, 4)	10
N(50, 4)	10	N(40, 4)	10	N(50, 7)	10	N(40, 7)	10

One-way ANOVA	Sum of Squares	Degrees of Freedom	Mean Squares	F-Ratio	p-Value
Between Variation	275.642	3	91.881	1.703	0.1836
Within Variation	1941.911	36	53.942
Total Variation	2217.553	39

OneWay ANOVA	Sum of Squares	Degrees of Freedom	Mean Squares	F-Ratio	p-Value
Between Variation	1806.075	3	602.025	25.368	< 0.0001
Within Variation	854.330	36	23.731
Total Variation	2660.405	39

One-way ANOVA	Sum of Squares	Degrees of Freedom	Mean Squares	F-Ratio	p-Value
Between Variation	1648.282	3	549.427	35.771	< 0.0001
Within Variation	552.941	36	15.359
Total Variation	2201.223	39

One-way ANOVA	Sum of Squares	Degrees of Freedom	Mean Squares	F-Ratio	p-Value
Between Variation	22.091	3	7.364	0.389	0.7617
Within Variation	681.733	36	18.937
Total Variation	703.824	39

Reference no: EM1318043

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