Hypothesis test using one-way anova

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

Questions Cloud

Random number generation based on rolling a die : Start rolling dice until a particular number, say 3, is obtained, and keep track of how many rolls are necessary. Repeat 100 times. Then find the average.

Person value to the organization : What role does leadership play in creating an environment that supports knowledge sharing? Which tools may be used to encourage workers to share knowledge?

Probability that the average score of the 36 golfers : The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Assume 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71.

Find how many students are on the bus : Find how many students are on the bus

Hypothesis test using one-way anova : Each scenario involves randomly selecting n i observations from four, independent, Normal populations as described.

Significance of learning about organizational behaviour : What is the meaning of Organizational Behaviour and significance of learning about Organizational Behaviour, values and ethics; workplace emotions and attitudes.

Solve the following quadratic equations : Solve the following quadratic equations

Prediction of incidence proportion : Compute the incidence proportion or the risk ratio that compares group 1 to group 0, and compute the Incidence proportion or the risk ratio which compares group 2 to group 0. Then post a summary of your findings.

Organizational architecture and corporate culture : Discuss how organizational architecture and corporate culture are related. Use an example of a real-life firm and discuss how its corporate culture blends with its organizational architecture.

User Account

All Pages