Calculate the pearson product-moment correlation


1. 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

2. 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

3. 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

4. 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

5. 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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Basic Statistics: Calculate the pearson product-moment correlation
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