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# One way ANOVA test using SAS and analyzing the results

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Use the values from the ANOVA table to test the Hypothesis etc.

From time to time, unknown to its employees, the research department at a commercial bank observes various employees for their efficiency. Recently, this department wanted to check whether four tellers at a branch of this bank serve, on average, the same number of customers per hour. The research assistant observed each of the four tellers for a certain number of hours in a given week. The following table gives the number of customers served by the four tellers during each of the observed hours.

Teller A Teller B Teller C Teller D
19 14 11 24
21 16 14 19
26 14 21 21
24 13 13 26
18 17 16 20
13 18

The following ANOVA table was generated from the sample results:

Source of Variation Sum of Squares Degrees of Freedom Mean Square F-ratio
Treatment or Factor SSF=?? k-1=?? MSF=??
Error SSE=?? N-k=?? MSE=??
Total SST=?? N-1=??

a) Copy the ANOVA table above and use a statistical software to compute the missing values of the ANOVA table.
b) Use the values from the ANOVA table to answer the following:

i. What hypothesis is being tested in the problem?

ii. What are the main assumptions of this model?

iii. What conclusion can you draw from the information in the ANOVA Table.
iv. Use the Tukey-Kramer procedure to find out which pairs are different.

https://brainmass.com/statistics/multivariate-anova/one-way-anova-test-analyzing-results-630289

#### Solution Preview

From time to time, unknown to its employees, the research department at a commercial bank observes various employees for their efficiency. Recently, this department wanted to check whether four tellers at a branch of this bank serve, on average, the same number of customers per hour. The research assistant observed each of the four tellers for a certain number of hours in a given week. The following table gives the number of customers served by the four tellers during each of the observed hours.

Teller A Teller B Teller C Teller ...

#### Solution Summary

The solution gives detailed steps on conducting a one way ANOVA test using SAS and analyzing the results. The Tukey-Kramer procedure is used to find out which pairs are different.

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## DATA to DECISION - drug Xynamine, ANOVA

From DATA to DECISION
Critical Thinking: Should you approve this drug?

Placebo 10mg 20mg
Treatment Treatment
Group Group Group
77 67 7
61 48 94

66 79 57

63 67 63

81 57 69

75 71 59

66 66 64

79 85 82

66 75 34

75 77 76

48 57 59

70 45 53

Consider the development of Xynamine—a new drug designed to lower pulse rates. In order to obtain more consistent results that do not have a confounding variable of gender, the drug is tested using males only. Given below are pulse rates for a placebo group, a group of men treated with Xynamine in 10 mg doses, and a group of men treated with 20 mg doses of Xynamine.

1. Use Excel or SAS to perform the one-way analysis of variance (ANOVA) for the data.
APA format is required, and solid academic writing is expected
2. Analyze the Results
Analyze the data using the methods of this chapter. (One-way analysis of variance (ANOVA))
Based on the results, write a brief report summarizing your findings minimum 500 words.
A. Does it appear that there is sufficient evidence to support the claim that the drug lowers pulse rates?
B. Are there any serious problems with the design of the experiment?
C. Given that only males were involved in the experiment, do the results also apply to females?
D. The project manager compared the post-treatment pulse rates to the mean pulse rate for adult males.
E. Is there a better way to measure the drug's effectiveness in lowering pulse rates?
F. How would you characterize the overall validity of the experiment?
G. Based on the available results, should the drug be approved?
Minimum of three citations required

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