In: Statistics and Probability
Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?
Group of answer choices
Data Set B
Data Set A
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Question 21 pts
Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?
Data Set A:
Speech | Statistics | Chemistry |
19 | 69 | 35 |
14 | 14 | 12 |
7 | 32 | 17 |
28 | 9 | 30 |
39 | 5 | 35 |
33 | 16 | 8 |
16 | 15 | 37 |
18 | 26 | |
39 | 10 | |
26 | ||
6 |
Group of answer choices
0.88
0.98
1.98
1.88
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Question 31 pts
Using Data Set B, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?
Data Set B:
Math | History | Oceanography |
43 | 66 | 31 |
53 | 54 | 40 |
49 | 58 | 53 |
54 | 64 | 42 |
43 | 64 | 51 |
43 | 64 | 38 |
45 | 56 | 55 |
51 | 55 | 46 |
54 | 54 | 40 |
Group of answer choices
0.48
1.48
0.000048
0.0048
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Question 41 pts
Using Data Set A, what F and F critical values did you get?
Speech | Statistics | Chemistry |
19 | 69 | 35 |
14 | 14 | 12 |
7 | 32 | 17 |
28 | 9 | 30 |
39 | 5 | 35 |
33 | 16 | 8 |
16 | 15 | 37 |
18 | 26 | |
39 | 10 | |
26 | ||
6 |
Group of answer choices
0.013; 3.40
0.210; 4.10
0.00002; 2.21
1.98; 19.28
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Question 51 pts
Using Data Set B, what F and F critical values did you get?
Math | History | Oceanography |
43 | 66 | 31 |
53 | 54 | 40 |
49 | 58 | 53 |
54 | 64 | 42 |
43 | 64 | 51 |
43 | 64 | 38 |
45 | 56 | 55 |
51 | 55 | 46 |
54 | 54 | 40 |
Group of answer choices
12.12; 4.28
15.50; 3.40
30; 15.30
2.33; 9.38
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Question 61 pts
Below you will find the null and alternative hypothesis for an ANOVA:
H0: μ1 = μ2 = μ3 |
H1: at least one of the means is different. |
For Data Set A, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?
Group of answer choices
Fail to Reject
Reject
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Question 71 pts
Below you will find the null and alternative hypothesis for an ANOVA:
H0: μ1 = μ2 = μ3 |
H1: at least one of the means is different. |
For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?
Group of answer choices
Fail to Reject
Reject
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Question 81 pts
Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?
Group of answer choices
Data Set B
Data Set A
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Question 91 pts
Tell us, in a short answer, why we run a post-hoc test after an ANOVA? What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?
Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?
Answer :
what can ANOVA can tell us ?
it is used to determine whether there are statistically significant difference between the means of two or more independent groups .
and what can't an ANOVA tell us?
= anova only tell us there is significant difference between means or not . it can not tell which mean is different exactly . we can find out it by using post hoc test or that kind of test .
Group of answer choices
Data Set B
Data Set A
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Question 21
Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?
Answer : first here i have given output of the anova for data set A and data set B
for output for data set A :
## now anova output for data B :
## Question 21
Using Data Set A, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?
Answer : 0.9874 ie 0.98
## Question 31 Using Data Set B, run the Single Factor ANOVA in Excel, as we did in class. What p-value did you get?
Answer : 0.000048
## Question 41 Using Data Set A, what F and F critical values did you get?
Answer : 0.013; 3.40
## Question 51 Using Data Set B, what F and F critical values did you get?
Answer : 15.50; 3.40
## Question 61 Below you will find the null and alternative hypothesis for an ANOVA:
H0: μ1 = μ2 = μ3
H1: at least one of the means is different.
For Data Set A, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?
Group of answer choices
Fail to Reject
## Question 71 Below you will find the null and alternative hypothesis for an ANOVA
H0: μ1 = μ2 = μ3
H1: at least one of the means is different.
For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis?
Group of answer choices
Reject
## Question 81 Which Data Set should you run a post-hoc T-test on? Think about what an ANOVA can tell us and what can't an ANOVA tell us?
Group of answer choices
Data Set B
## Question 91
Tell us, in a short answer, why we run a post-hoc test after an ANOVA? What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?
Answer :
ANOVA can not tell which mean is different exactly . we can find out it by using post hoc test or that kind of test .
and post hoc test is valid only if we reject Ho . once we have reject Ho we can find out which pair mean difference statistically .
## What can a T-test tell us? When you run the t-test, do we want a big or small P (T<=t) two-tail value? Why?
T test is used for find out mean difference between two treatments or groups . and used two tail because there is non directional tail hence used two tailed test .