MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The following data represent the results from an independent-measures study comparing two treatment conditions.
Treatment One |
Treatment Two |
---|---|
4.4 | 4.3 |
6.7 | 7 |
3 | 3.3 |
4.9 | 4.9 |
5.3 | 2.8 |
5 | 5.4 |
Conduct ANOVA with α=0.05 for this data and calculate the F-ratio and p-value. Round your answer to three decimal places. Assume all population and ANOVA requirements are met.
F-ratio: ____
p-value: ____
Now, conduct a t-test with α=0.05 on the same data and calculate the t-statisitc and p-value. Round your answer to three decimal places.
t-statistic: ____
p-value: ____
Observing the p-values, was there a difference in the result of the hypothesis test? (Select one):
- Yes, the p-values are different enough to change the outcome of the test.
- No, the p-values aren't that far off where it would change the outcome of the test.
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- The p-value for a t-statistic was .008. What is the best way to report the level of significance? p<.008 p<.05 p<.01 p<.001arrow_forwardWhen is a post-hoc test used? (Select all that apply.) a. when you decide to do a within-subjects design b. only if you find differences between all of your group means c.if the ANOVA is statistically significant d. if between-group variability is small e.if the F ratio is greater than the critical value for Farrow_forwardThe following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Two Treatment One 3.4 3.2 4.3 4.3 4.9 4.4 2.7 5.5 3.4 4.1 3.8 4.3 4.1 3.6 4.3 2.2 Conduct ANOVA with a = 0.05 for this data and calculate the F-ratio and p-value. Round your answer to three decimal places. Assume all population and ANOVA requirements are met. F-ratio: p-value: Now, conduct a t-test with a = 0.05 on the same data and calculate the t-statisitc and p-value. Round your answer to three decimal places. t-statistic: p-value:arrow_forward
- Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"arrow_forwardWhich statistical method can be considered as an extension of One-Way ANOVA to incorporate a "covariate"? a. two way ANOVA b. ANCOVA c. Normality Testing d. Covariancearrow_forwardOnly round final answer to 2 decimal places.arrow_forward
- Interpret this statistic. Why was gamma applicable here? Please show your work.arrow_forwardAn analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below. Complete the following ANOVA Table. Source of Variation SS df MS F Between Groups Within Groups 3719.48 Totalarrow_forwardRefer to the below table. Using an alpha = 0.05, test the claim that IQ scores are the same for children in three different blood lead level groups: low lead level, medium lead level, and high lead level). One-Way Analysis of Variance Summary Table for IQ Measurements for Children among Three Blood Lead Level Groups: Low Lead Level, Medium Lead Level, and High Lead Level. Source df SS MS F p Between-group (treatment) 2 469.1827 2677.864 2.30 0.104 Within-group (error) 118 203.6918 11745.05 Total 120arrow_forward
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