Question

Part II: SPSS Application These questions require the use of SPSS. Remember you must submit all of your work within this word document. You will need to take a screen shot of your data view if necessary, or copy and paste your output into the spaces below. Remember to report the exact p value provided by SPSS output – simply reporting p<.05 or p>.05 is not acceptable (unless SPSS output states p=.000 – in that case you can report p<.001). Exercise 1 Create a data file in SPSS using the following memory scores for this sample of 15 fictional patients with dementia: 8 3 11 7 6 5 4 8 9 8 7 9 5 4 10 Higher memory number indicates better memory performance. Use this information to complete the following in SPSS. 17) Run descriptive statistics on the dementia patients’ memory scores (make sure to include the mean and confidence interval by using the “Explore” option as shown in this week’s presentation). Answer: SPSS output of descriptive statistics 18) You want to compare your sample dementia patients with a population of age matched controls, and you only know their mean ( = 13.1). Run a single sample t test. Paste the output below. 2pts Answer: SPSS output of the t-Test 19) Write a results section in current APA style describing the outcome. All homework results sections must follow the example given in the SPSS presentation and in the textbook. Results sections are multiple sentences (a single paragraph) and must include the APA-formatted statistical statement and whether the null hypothesis is accepted or rejected. Answer: 20) You want to compare your sample dementia patients with a population of patients with TBI and you only know their mean ( = 8.5). Run a single sample t test. Paste the output below. 2pts Answer: SPSS output of the t-Test 21) Write a results section in current APA style describing the outcome. All homework results sections must follow the example given in the SPSS presentation and in the textbook. Results sections are multiple sentences (a single paragraph) and must include the APA-formatted statistical statement and whether the null hypothesis is accepted or rejected. Answer:

Answer 1

Using SPSS,

Exercise 1: Entering the data into SPSS and labeling,

ew Data Transform Analyze Direct Marketing Graphs Utilities Add-ons Windo Reports Descriptive Statistics Tables Compare Means General Linear Model Generalized Linear Models Mixed Models Correlate Regression Loglinear Neural Networks Frequencies Descriptives.. Score .4 Explore 8.00 3.00 11.00 7.00 6.00 5.00 4.00 Crosstabs... Ratio... P-P Plots... Q-Q Plots...

Score var var var var var var var var var var 8.00 3.00 11.00 7.00 6.00 5.00 4.00 8.00 9.00 8.00 7.00 9.00 5.00 4.00 10.00 Explore Dependent List: Statistics... Plots Options... Bootstrap... Memory_Score Factor List Label Cases by: rDisplay Both @ Statistics O Plots OK Paste Reset Cancel Help

Score var var var var var var var var var 8.00 3.00 11.00 7.00 6.00 5.00 4.00 8.00 9.00 8.00 7.00 9.00 5.00 4.00 10.00 Explore Dependent List Statistics... Plots Options... ootstrap... Explore: Statistics Descriptive Confidence Interval for Mean: 95 M-estimators Outliers Percentiles Display Both Continue Cancel Help OK Paste Reset Cancel Help

We get the Output:

Descriptives StatisticStd. Error 6.9333 5.6184 8.2483 6.9259 7.0000 5.638 2.37447 3.00 11.00 8.00 4.00 057 .940 Memory_Score Mean 61308 95% Confidence Interval for Mean Lower Bound Upper Bound 5% Trimmed Mean Median Variance Std. Deviation Minimum Maximum Range Interquartile Range Skewness Kurtosis 580 1.121

Mean of the data being 6.9333 with a 95% confidence interval (5.6184, 8.2483).

Exercise 2: Let $\mu$ denote the mean score of the population.

To test: $H_{0}:\mu=13.1$ Vs   $H_{a}:\mu\neq13.1$

Running a One sample t test:

View Data Transform Analyze Direct Marketing Graphs Utilities Add-ons Window Help Reports Descriptive Statistics Tables Compare Means General Linear Model Generalized Linear Models Mixed Models Correlate Regression Loglinear Neural Networks Classify Dimension Reduction Score ar Means... 8.00 3.00 11.00 7.00 6.00 5.00 4.00 8.00 9.00 One-Sample T Test.. Independent-Samples T Test.. Paired-Samples T Test... One-Way ANOVA.

Score One-Sample T Test 8.00 3.00 11.00 7.00 6.00 5.00 4.00 8.00 9.00 8.00 7.00 9.00 5.00 4.00 10.00 Test Variable(s): Options... Memory_Score Bootstrap... Test Value: 13.1 OK Paste Reset Cancel Help

We get the Output:

T-Test [DataSet0] One-Sample Statistics Std. Error Mean Mean Std. Deviation 2.37447 Memory_Score 15 6.9333 61308 One-Sample Test Test Value 1 3.1 95% Confidence Interval ofthe Difference Mean df Sig. (2-tailed Difference Lower Upper 14 6.16667 Memory_Score10.058 -7.4816 4.8517

A One sample t test was conducted to test whether a significant difference existed between memory scores from the sample and of those from the general population.Subjects with dementia showed significantly lower (Mean = 6.9333, SD = 2.37447) memory score when compared to their age matched controls; t₁₄ = -10.058, p< 0.001

Exercise 3:

To test: $H_{0}:\mu=8.5$ Vs   $H_{a}:\mu\neq8.5$

Running a One sample t test:

One-Sample T Test Score 8.00 3.00 11.00 7.00 6.00 5.00 4.00 8.00 9.00 8.00 7.00 9.00 5.00 4.00 10.00 Test Variable(s): Options... Memory_Score Bootstrap... Test Value: 8.5 OK Paste Reset Cancel Help

T-Test [DataSet0] One-Sample Statistics Std. Error Mean Mean Std. Deviation 2.37447 15 6.9333 Memory_Score 61308 One-Sample Test Test Value 8.5 95% Confidence Interval ofthe Difference Mean df ig. (2-tailed Difference Lower Upper 023 14 2.8816 Memory Score-2.555 1.56667 .2517

A One sample t test was conducted to test whether a significant difference existed between memory scores from the sample and of those from the population of patients with TBI. Subjects with dementia showed significantly lower (Mean = 6.9333, SD = 2.37447) memory score when compared to that of the population with TBI; t₁₄ = -2.555, p=0.023.