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Unit 4: Statistical Significance

Unit 4: Statistical Significance. Lesson 1: Constructing Confidence Intervals. EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas. Next Slide. 85. 100. 115. Mean Differences. IQ Scores. Next Slide. SEM X. Standard Error of the Mean.

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Unit 4: Statistical Significance

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  1. Unit 4: Statistical Significance Lesson 1: Constructing Confidence Intervals EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Next Slide

  2. 85 100 115 Mean Differences IQ Scores Next Slide

  3. SEMX Standard Error of the Mean Sample of IQ Scores Mean = 100 SD = 15 N = 25 Next Slide

  4. -1.96 SD +1.96 SD Critical Values 95% Confidence Intervals Next Slide

  5. Sample of IQ Scores Mean = 100 SD = 15 N = 25 Computing the CI95% CI95% = 100 ± (1.96)(3) CI95% = 100 ± 5.88 -or- CI95%: 105.88 – 94.12 Next Slide

  6. What Does a CI Tell Me? CI95% = 100 ± 5.88 1. We are 95% confident that the interval around our obtained mean contains the population mean. 2. If we continued to sample from the population an infinite number of times, 95% of those sample means and confidence intervals would capture the population mean. Next Slide

  7. Confidence Intervals from a Population Next Slide

  8. Unit 4: Statistical Significance Lesson 1: Constructing Confidence Intervals EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas

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