I have till 5/9/16 to turn this in. This is a take home exam and I desperately need the answers to keep my A in this class.
- One sample of n = 5 scores has a variance of s^{2} = 10 and a second sample of n = 10 scores has s^{2} = 20. If the pooled variance is computed for these two samples, then the value obtained will be ________.
- Cannot be determined without more information.
- Closer to 20 than to 10
- Closer to 10 than to 20
- Exactly half way between 10 and 20
- As the observed frequencies get closer to the expected frequencies, the value of the chi-square statistic:
- Increases.
- Decreases.
- Does not change.
- Not enough information provided.
- Under what circumstances should the chi-square statistic NOT be used?
- If fe > 5 for any cell.
- If fe < 5 for any cell.
- If fe = fo for any cell.
- None of the other options is correct.
Computation problems.
X_{1} X_{2}
6 9
7 6
3 3
6 8
5 7
5 7
4 9
4 8
5 7
- Assume this is an independent samples experiment. What are the resulting t statistic, degrees of freedom, and critical value for an alpha of .05 with two tails? What should we conclude from these data?
- Assume this is a dependent samples experiment. What are the resulting t statistic and degrees of freedom.
X_{3}
6
7
3
6
5
5
4
4
5
- Add in this set. What is the ANOVA statistic? Make an ANOVA table.
- Consider the following data set.
| A | B | C | Rows |
Male | f_{o} = f_{e} = _____ | f_{o} = f_{e} = _____ | f_{o} = f_{e} = _____ | Σ row_{♂} = _____ |
Female | f_{o} = f_{e} = _____ | f_{o} = f_{e} = _____ | f_{o} = f_{e} = _____ | Σ row_{♀} = _____ |
Columns | Σ col_{A} = _____ | Σ col_{B} = _____ | Σ col_{C} = _____ | N = _____ |
Calculate the chi square statistic.
χ^{2} =
Short answer, 5 points each.
- Why does the t_{obt} change when we use dependent v. independent samples t-tests?
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- Why does the t_{crit} change when we use dependent v. independent samples t-tests?
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- How can we figure out how many people we have in a sample, given a specific degrees of freedom? Answer for both independent and dependent samples tests.
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- Which is preferable, a dependent samples test or an independent samples? Give two reasons why.
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- Explain pooled variance.
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- Given the choice, we won’t use the chi-square test. What’s so wrong with it? What are the assumptions associated with the chi-square?
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Extra credit.
Why do we care about homogeneity of variance?
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