Calculate the correlation coefficient and test for


1. What would be the appropriate statistical procedure to test the following hypothesis: "Triglyceride values are a good predictor of weight in obese adults."

2. What is (are) the function(s) of parametric statistical procedures?

3. What is Type I Error?

4. What are the assumptions underlying the use of parametric, statistical procedures?

5. If a critical value is greater than the test statistic, would you accept or reject the null hypothesis?

6. Under what circumstance(s) is it appropriate to use a 2-tailed test of significance?

7. What is the appropriate statistical procedure to use when your interest is in detecting a bivariate, curvilinear association?

8. For a study comparing outcomes under alternate treatment conditions, when the null hypothesis is rejected, the researcher concludes that a difference among groups exists.

9. A researcher, for reasons passing understanding, wishes to assess the association between gender and total cholesterol values. What would be the appropriate statistical procedure?

10. An HIV educator wishes to determine whether the method of delivering teaching influences adherence with antiretroviral therapy. She decides to measure adherence as viral load (a ratio measure). She teaches one group using lecture-discussion techniques. She adapts the information for access on the internet and gives another group the information using this medium. For yet another group, she decides to give a CD Rom for home study and then meets with individuals to answer any questions. She obtains viral loads for all clients for comparison. What procedure will determine the significance of any differences?

Question 11-15 relate to the following study results:

                        Study A                      Study B                       Study C

 

                        c2 = 1.683                   F = 7.357                     r = .83

                        df = 4                          df = 3/203                   df = 98

                        p > .05                         p < .05                         p < .01

11. What statistical procedure was used to analyze data in study B?

12. How many groups were compared in study B?

13. How many subjects were enrolled in Study C?

14. Which study demonstrated the greatest level of statistical significance?

15. In which study is the likelihood of Type I error greatest?

In a regression analysis, a nurse researcher found a correlation of .82 between pain relief scores and satisfaction with nursing care. She also calculated the following for her regression analysis:

Pain Relief (x): Mean = 58 sd = 3.9

Satisfaction (y): Mean = 42 sd = 4.4

slope = 1.56

y intercept = - 3.53

16. What will be the predicted satisfaction score (expressed as a point estimate) for a patient with a pain relief score of 62?

17. What is the standard error of estimate when predicting satisfaction from knowledge of pain relief score?

18. What would be the interval estimate for satisfaction for the patient in problem 16?

Questions 19-21:

A nurse researcher is investigating the effect of timing of standard pain control interventions on severity of pain in adolescents with sickle-cell disease. She establishes three treatment protocols:

1) initiation of pain control immediately upon the presence of prodromal sign (an "aura" signaling the imminent onset of pain);

2) initiation of pain control one hour after the onset of pain; and

3) initiation of pain control only at the points where non-steroidal anti-inflammatories and guided imagery are no longer effective in keeping pain bearable. She conducted a one-way ANOVA to analyze her data and the following table summarizes her findings:

Source             df                    SS                    MSS                F                      p         

            Among            2                      75536.2           37768.1           5.159               <.05

            Within             27                   197660.3            7320.8                                              

            Total                29                    273196.5        

 

On the basis of these data alone, she drew the following conclusions. For each conclusion, indicate whether you feel the conclusion is justified or unjustified.

19. Severity of pain is influenced by the timing of pain interventions in sickle-cell crises.

20 Immediate intervention is better than either slightly delayed intervention or initiation at crisis stage.

21. She has more than 99% confidence in her conclusion that severity of pain is influenced by timing.

Items 22-23 relate to the following study results:

Study A                      Study B

r = .64                          r = .77

df = 18                                    df = 121

p<.05                           p<.01

22. In using the data from study A to make predictions, what percent of the time would you expect predictions to be exactly correct?

23. Which study would have the smallest margin of error in predicting one variable from knowledge of the other?

Items 24 and 25 relate to the following SPSS output. A researcher is interested in characteristics of HIV+ and HIV- adolescents interviewed 166 young adults about their experiences during adolescence. He wished to know, among other things, if there were significant differences in the ages at which HIV+ and HIV- young adults became sexually active. The following is the printout of this analysis:

_______________________________________________________________________

HIV Status                              N         Mean               sd                    Stnd. Error                 

Age at             Positive           57        13.2                 2.96576           .39282

first sexual

experience       Negative          109      15.1                 2.57286           .24644

________________________________________________________________________

Independent Samples Test

_______________________________________________________________________

                                                                        Levene's Test for

                                                                        Equality of Variances

                                                                        F                      Sig      

Age at             Equal variance assumed          1.313               .254

first sexual

experience       Equal variance not assumed

                                                                                                                                               

                                                                                                                                                

                                                            t-test for Equality of Means

                                                                                                                                               

                                                                        t           df        sig.       mean difference         

Age at             Equal variance assumed          -2.870  164      .005                 -1.9

first sexual

experience       Equal variance not assumed    -2.745  99.66   .007                 -1.9

                                                                                                                                               

24. Were there significant differences between the groups. Give the relevant stastical data to support your answer?

25. What is the confidence interval associated with your answer to item # 24?

26. For the following data set, calculate the oneway ANOVA and test for significance at the .05 level.

Group 1                       Group 2                       Group 3                       Group 4

            x          x2                     x          x2                     x          x2                     x          x2

            7          49                    10        100                  12        144                  16        256

            8          64                    12        144                  14        196                  15        225

            7          49                    13        169                  13        169                  18        324

            9          81                    13        169                  11        121                  17        289

            9          81                    14        196                  13        169                  20        400

            11        121                  15        225                  15        225                  21        441

            10        100                  14        196                  13        169                  22        484

            61        545                  91     1,199                  91     1,193                 129     2,419

27. Calculate the X2 for the following 3 X 2 table and test for significance at the .01 level.

                        Group 1           Group 2           Group 3

    Positive

   Outcome            9                    12                   8                   29

                                                                                               

   Negative

   Outcome           5                      16                  4                  25

                                                                                   

 

                             14                    28                   12                54

28. For the following group data, calculate a t-test and test for significance at the .05 level, 2-tailed level of significance.

Treatment Group                     Control Group

Mean = 68.4                            Mean = 52.2

sd = 5.6                                   sd = 6.0

n = 42                                      n = 46

29. For the following paired observations, calculate the Pearson product-moment correlation coefficient and test for significance at the .01 level.

x                      x2                     y                      y2                     xy

17                    289                  23                    529                  391

17                    289                  19                    361                  323

18                    324                  20                    400                  360

19                    361                  17                    289                  323

21                    441                  15                    225                  315

22                    484                  19                    361                  418

21                    441                  20                    400                  420

23                    529                  19                    361                  437

22                    484                  20                    400                  440

18                    324                  16                    256                  288

198                 3,966                188                 3,582               3,715

30. For the following data regarding paired rank orders for a sample, calculate the correlation coefficient and test for significance at the .05 level.

Subject #           Rank 1            Rank 2

1                      2                      1

2                      1                      2.5

3                      3                      2.5

4                      5                      4

5                      6                      5

6                      4                      8

7                      7                      6

8                      9                      7

9                      8                      10

10                    10                    9

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