Question

In: Statistics and Probability

SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on...

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

Solutions

Expert Solution

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."


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