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# Unit 2 lesson 1

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### Unit 2 lesson 1

1. 1. Unit 2: Bivariate Relationships Lesson 1: Reviewing the Homework EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Next Slide
2. 2. Kyle’s “Mock” Data Next Slide John Meredith Kyle Addie X 1 2 3 4 Y 1 1 1 2 1 2 3 4 X 1 2 3 4 Y
3. 3. Deciphering the Homework Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 0.50 1.29 SD 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
4. 4. Deciphering the Mean Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 0.50 1.29 SD 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
5. 5. Deciphering the Standard Deviation Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
6. 6. Deciphering the Skewness Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
7. 7. Deciphering the Kurtosis Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -1.69 -1.69 -1.69 -1.69 -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
8. 8. Deciphering the Covariance Next Slide 0.78 N/A r x ??? 0.50 N/A COV X ??? -1.69 -1.69 -1.69 -1.69 -1.69 -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 N/A r x ??? 1.00 -0.25 1.00 0.50 0.50 0.50 N/A COV X ??? -1.69 -1.69 -1.69 -1.69 -1.69 -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
9. 9. Deciphering the Pearson r Next Slide 0.78 N/A r x ??? 1.00 -0.25 1.00 0.50 0.50 0.50 N/A COV X ??? -1.69 -1.69 -1.69 -1.69 -1.69 -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X 0.78 -0.78 0.78 0.78 0.78 0.78 N/A r x ??? 1.00 -0.25 1.00 0.50 0.50 0.50 N/A COV X ??? -1.69 -1.69 -1.69 -1.69 -1.69 -1.69 -2.08 Kurtosis 0.75 -0.75 0.75 0.75 0.75 0.75 0 Skewness 1.00 0.25 1.00 0.50 0.50 0.50 1.29 SD 4.5 -.625 2.50 0.25 4.25 1.25 2.50 Mean (Y+1)*2 Y * -.5 Y * 2 Y – 1 Y + 3 Y X
10. 10. Additive Constants Mean SD Skewness Kurtosis Covariance Pearson r Changes by the value of the additive constant Does not change Does not change Does not change Does not change Does not change Next Slide
11. 11. Multiplicative Constants Mean SD Skewness Kurtosis Covariance Pearson r Changes by the value of the multiplicative constant Changes by the value of the multiplicative constant, but cannot be negative Value won’t change, but will flip signs with a negative MC Does not change Changes by the value of the multiplicative constant Value won’t change, but will flip signs with a negative MC Next Slide
12. 12. Unit 2: Bivariate Relationships Lesson 1: Reviewing the Homework EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas