In: Math
Question 1:
Some people are more susceptible to hypnosis than others. People who are highly suggestible have a vivid imagination and fantasy life. This has led researchers to hypothesize that the ability to recall dreams will also be affected by hypnotic susceptibility (HS). Dr. Flowers wanted to test this hypothesis. Using the Stanford Scale of Hypnotic Susceptibility, she assigned participants to low, medium, and high susceptibility groups. Dr. Flowers asked all participants to keep a dream diary. At the end of 1 month, the diaries were collected and Dr. Flowers counted the number of dreams each person had recalled.
What is the alternative research hypothesis for this study?
What is the null research hypothesis for this study?
What is the first word in the alternative statistical hypothesis for any experiment with three levels of a single IV?
What is the null statistical hypothesis for the study of dream recall among groups with different levels of hypnotic susceptibility?
μlowHS = μmedHS = μhighHSμlowHS = μmedHS = μhighHS
μlowHS ≠ μmedHS ≠ μhighHSμlowHS ≠ μmedHS ≠ μhighHS
In SPSS, analyze the data in the table using a one-way ANOVA.
Low HS |
Medium HS |
High HS |
4 |
14 |
22 |
9 |
12 |
26 |
6 |
3 |
13 |
8 |
26 |
20 |
14 |
15 |
27 |
16 |
19 |
19 |
8 |
17 |
16 |
10 |
5 |
14 |
Use the results in the output box labeled Descriptives to complete the following chart, which you will then use to answer the following 6 questions.
Low HS |
Med HS |
High HS |
|
Mean |
|||
SD |
What is the mean of the low HS group? (2 decimal places)
What is the mean of the medium HS group? (2 decimal places)
What is the mean of the high HS group? (2 decimal places)
What is the SD of the low HS group? (2 decimal places)
What is the SD of the medium HS group? (2 decimal places)
What is the SD of the high HS group? (2 decimal places)
Using the results in the output box labeled ANOVA, answer the next two questions.
What is the F ratio reported in the source table? (2 decimal places)
What is the p value reported in the source table? (located in the column labeled Sig)(3 decimal places)
In SPSS, conduct a post hoc test using Tukey's HSD to determine which groups differ significantly.
Complete the chart below to help you answer the following 6 questions.
Low vs. Med. |
Low vs. High |
Med. vs. High |
|
Mean difference (absolute value) |
|||
p value |
What is the absolute value of the mean difference between the low and the mediumhypnotic susceptibility conditions? (2 decimal places)
What is the absolute value of the mean difference between the low and the high hypnotic susceptibility conditions? (2 decimal places)
What is the absolute value of the mean difference between the medium and the high hypnotic susceptibility conditions? (2 decimal places)
What is the p value for the comparison between the low and the medium hypnotic susceptibility conditions? (3 decimal places)
What is the p value for the comparison between the low and the high hypnotic susceptibility conditions? (3 decimal places)
What is the p value for the comparison between the medium and the high hypnotic susceptibility conditions? (3 decimal places)
What are the F-obtained values?
What are the between-groups MS? (3 decimal places)
What are the within-groups MS? (3 decimal places)
What are the significance levels?
Which component of the F ratio is affected by the distance between the mean?
MSbetween (the numerator) |
|
MSwithin (the denominator) |
Which component of the F ratio is affected by the amount of variability within the group?
MSbetween (the numerator) |
|
MSwithin (the denominator) |
Which component of the F ratio is affected by the amount of variability within the group?
MSbetween (the numerator) |
|
MSwithin (the denominator) |
Write a complete APA-style conclusion.
This is a template you will use to report the results of Experiment 1 of this study in the same format in which you would write the Results section of an APA-style lab report or journal article:
Based on a one-way ANOVA conducted in SPSS (Version 25), hypnotic susceptibility (HS) does /does not have an effect on the number of dreams recalled, F(#,##) = ###, p= ###. Tukey’s post hoc tests revealed that fewer / the same number of / more dreams are recalled in the high HS condition (M= ###) than / as in the low HS condition (M= ###), p= ###. There is a / no significant difference between the number of dreams recalled in the low HS condition and the medium HS condition (M= ###), p= ###. There is also a / no significant difference between the number of dreams recalled in the medium HS condition and the high HS condition, p= ###. Therefore, the results confirm that high HS is associated with fewer / the same number of / more dreams being recalled when compared to those with low HS.
The hypothesis being tested is:
The null hypothesis: μlowHS = μmedHS = μhighHSμlowHS = μmedHS = μhighHS
The alternative hypothesis: At least one means is not equal
The One-Way ANOVA output is:
Mean | n | Std. Dev | |||
9.4 | 8 | 3.96 | Low HS | ||
13.9 | 8 | 7.41 | Medium HS | ||
19.6 | 8 | 5.21 | High HS | ||
14.3 | 24 | 6.94 | Total | ||
ANOVA table | |||||
Source | SS | df | MS | F | p-value |
Treatment | 422.33 | 2 | 211.167 | 6.48 | .0064 |
Error | 684.63 | 21 | 32.601 | ||
Total | 1,106.96 | 23 | |||
Post hoc analysis | |||||
p-values for pairwise t-tests | |||||
Low HS | Medium HS | High HS | |||
9.4 | 13.9 | 19.6 | |||
Low HS | 9.4 | ||||
Medium HS | 13.9 | .1299 | |||
High HS | 19.6 | .0017 | .0570 | ||
Tukey simultaneous comparison t-values (d.f. = 21) | |||||
Low HS | Medium HS | High HS | |||
9.4 | 13.9 | 19.6 | |||
Low HS | 9.4 | ||||
Medium HS | 13.9 | 1.58 | |||
High HS | 19.6 | 3.59 | 2.01 | ||
critical values for experimentwise error rate: | |||||
0.05 | 2.52 | ||||
0.01 | 3.26 |
Med HS | High HS | ||
Low HS | |||
Mean | 9.38 | 13.88 | 19.63 |
SD | 3.96 | 7.41 | 5.21 |
Low vs. High | Med. vs. High | ||
Low vs. Med. | |||
Mean difference (absolute value) | 1.58 | 3.59 | 2.01 |
p value | .1299 | .0017 | .0570 |
Every theoretical answer is attached in the One-Way ANOVA output like F-values, MS, p-values. Please let me know if you need anything else.