Quiz: Psych stats t-tests and ANOVA
This quiz covers the basics of t-tests and ANOVA in psychology statistics, focusing on their applications in real-world scenarios, including examples involving store sales, trips, and financial comparisons.
Quiz(32 questions)
1. What is the primary purpose of a t-test?
Terms in this Study Set(32)
T-Tests Fundamentals(16)
What is a t-test?
A statistical test used to compare the means of two groups to determine if they differ significantly.
Types of t-tests
- Independent t-test - Paired t-test - One-sample t-test
When to use a paired t-test?
When comparing two related samples, like before-and-after measurements on the same subjects.
True or False: A t-test can be used for more than two groups.
False. A t-test is limited to comparing two groups. Use ANOVA for more.
Fill in the blank: The assumption of normality is important for __________.
t-tests because they assume that the data follows a normal distribution.
Independent vs. Paired t-tests
Independent compares two separate groups; paired compares two related groups.
What do you need for a one-sample t-test?
A single sample mean to compare against a known mean and the sample standard deviation.
Example of independent t-test:
Comparing average spending between two different stores on groceries. Store A: 130.
What does a p-value indicate in a t-test?
The probability of observing the data if the null hypothesis is true. A low p-value suggests significant differences.
True or False: A larger sample size increases the power of a t-test.
True. Larger samples provide more accurate estimates and increase the test's ability to detect differences.
What is the null hypothesis in a t-test?
The hypothesis stating there is no difference between the means of the two groups being compared.
When should you not use a t-test?
When the data is not normally distributed and sample sizes are small. Consider non-parametric tests instead.
Calculate the t-value: Group A mean = 5, Group B mean = 3, SD = 1, n = 30.
t = (5 - 3) / (1 / √30) = 10.95.
What affects the t-test assumptions?
- Sample size - Normality - Homogeneity of variance
True or False: t-tests can only be one-tailed.
False. t-tests can be one-tailed or two-tailed depending on the research hypothesis.
What is a one-tailed t-test?
A test that determines if one mean is significantly greater or less than another mean, but not both.
ANOVA Overview(16)
What does ANOVA stand for?
ANOVA stands for Analysis of Variance. It compares means across multiple groups to see if there are significant differences.
True or False: ANOVA can only compare two groups.
False. ANOVA is specifically designed to compare three or more groups.
Fill in the blank: ANOVA tests the null hypothesis that _____ are equal.
the means of all groups
What are the main types of ANOVA?
One-way ANOVA, Two-way ANOVA, Repeated Measures ANOVA.
Cause → Effect: High variance in data samples leads to _____ in ANOVA.
potentially rejecting the null hypothesis
What does a significant ANOVA result indicate?
At least one group mean is different from the others.
Comparison: ANOVA vs. t-tests.
ANOVA compares multiple groups; t-tests compare two groups.
Example: ANOVA usage in a store.
Comparing sales across three different product lines to see if one outperforms the others.
What is a post-hoc test?
A follow-up test after ANOVA to find out which specific groups differ.
True or False: ANOVA requires normally distributed data.
True. ANOVA assumes that data in each group is normally distributed.
Calculate: Group A mean = 60, Group C mean = $70. ANOVA result?
ANOVA tests if these means are statistically different.
Fill in the blank: ANOVA helps in decision-making for _____ investments.
financial or marketing
What does a p-value in ANOVA signify?
The probability that the observed differences are due to chance.
Example scenario: Teacher compares test scores.
Using one-way ANOVA for three different teaching methods to see which is most effective.
Identify the measure: ANOVA assesses which type of variability?
Between-group variability versus within-group variability.
What assumption does ANOVA make about the variances?
Assumes homogeneity of variances across groups.
Questions in this Study Set(32)
1. What is the primary purpose of a t-test?
2. What does a significant result in ANOVA indicate?
3. Which of the following scenarios would best utilize a paired t-test?
4. Which of the following is NOT a type of ANOVA?
5. True or False: A t-test can be used to assess differences between more than two groups.
6. In an ANOVA test, what is the null hypothesis commonly stating?
7. Fill in the blank: The assumption of homogeneity of variance is crucial for __________.
8. What is the primary purpose of using a post-hoc test after ANOVA?
9. What is an independent t-test primarily used for?
10. True or False: ANOVA can be used for comparing two groups only.
11. What does a low p-value in a t-test suggest?
12. If a researcher conducts a one-way ANOVA with four groups, how many group means are being compared?
13. True or False: Larger sample sizes can improve the accuracy of a t-test.
14. What assumption does ANOVA make regarding the distribution of data within each group?
15. What is the null hypothesis in a t-test?
16. Fill in the blank: ANOVA is primarily concerned with comparing _____ across groups.
17. When should a t-test not be used?
18. Which scenario is most appropriate for using a two-way ANOVA?
19. How would you calculate the t-value between two groups?
20. What is the role of the F-ratio in ANOVA?
21. Which of the following affects the assumptions of a t-test?
22. True or False: ANOVA can indicate which specific means are different without additional tests.
23. True or False: t-tests can only be conducted as one-tailed tests.
24. What does the p-value in ANOVA represent?
25. What is a one-tailed t-test used for?
26. If an ANOVA test shows a p-value of 0.03, what does it suggest?
27. In which scenario would you perform a one-sample t-test?
28. In a study comparing the effect of three diets on weight loss, what type of ANOVA is appropriate?
29. Which of the following is NOT a type of t-test?
30. Identify the measure ANOVA primarily assesses.
31. In a psychological study, researchers want to determine if a new therapy technique leads to a significant reduction in anxiety scores. They measure anxiety levels before and after the therapy on the same group of participants. Which type of t-test should they use?
32. Which of the following groups would be suitable for an ANOVA analysis?
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