In: Statistics and Probability
SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on performance in a memory task. He assigns students to two groups, one which learns and uses a language-based rhyming memory technique, and one which learns and uses a visual “method of loci” spatial memory technique. He then administers a memory task to each group of students. The students are scored based on the percentage of correct answers.
Using this table, enter the data into a new SPSS data file and run an independent-samples t test to test the claim that there is a difference in the percentage of correct answers between the two groups.
Language-Based |
Spatially-based |
93 77 89 87 78 62 67 90 95 |
83 89 72 95 76 63 99 84 93 |
Part A - Paste SPSS data
Part B - Write an APA-style Results section based on your analysis. Include your boxplot as an APA-style figure
Test and CI for Two Variances: Language-Based, Spatially-based
σ₁: standard deviation of Language-Based |
σ₂: standard deviation of Spatially-based |
Ratio: σ₁/σ₂ |
The Levene's methods are valid for any continuous distribution. |
Descriptive Statistics
Variable | N | StDev | Variance | 95% CI for σ |
Language-Based | 9 | 11.694 | 136.750 | (7.055, 24.780) |
Spatially-based | 9 | 11.734 | 137.694 | (7.417, 23.732) |
Test
Null hypothesis | H₀: σ₁ / σ₂ = 1 |
Alternative hypothesis | H₁: σ₁ / σ₂ ≠ 1 |
Significance level | α = 0.05 |
Method |
Test Statistic |
DF1 | DF2 | P-Value |
Levene | 0.00 | 1 | 16 | 0.975 |
From Levenes test we conclude that populations variances are equal since p-value is more than 0.05.
Two-Sample T-Test and CI: Language-Based, Spatially-based
Method
μ₁: mean of Language-Based |
µ₂: mean of Spatially-based |
Difference: μ₁ - µ₂ |
Descriptive Statistics
Sample | N | Mean | StDev | SE Mean |
Language-Based | 9 | 82.0 | 11.7 | 3.9 |
Spatially-based | 9 | 83.8 | 11.7 | 3.9 |
Estimation for Difference
Difference |
Pooled StDev |
95% CI for Difference |
-1.78 | 11.71 | (-13.48, 9.93) |
Test
Null hypothesis | H₀: μ₁ - µ₂ = 0 |
Alternative hypothesis | H₁: μ₁ - µ₂ ≠ 0 |
T-Value | DF | P-Value |
-0.32 | 16 | 0.752 |
b)
“An independent-samples t-test was conducted to compare the success of two different mnemonics in Language-Based and Spatially-based conditions. There was a no significant difference in the scores for Language-Based (M=82.0, SD=11.7) and Spatially-based (M=83.8, SD=11.7) conditions; t (16)=-0.32, p = 0.752. These results suggest that Language-Based and Spatially-based really does not have an effect on memory for words."