# Formulas_Exam1

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## Formulas_Exam1

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Problems/Exams

- Pages:
- 2
- School:
- Iowa State University
- Course:
- Stat 496 - Applied Statistics for Industry II

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Formulas for Exam 1 Two independent samples Test Statistic for testing H 0 1 2 or H 0 1 2 0 t y1 y2 0 sp sp 1 1 n1 n2 n1 1 s12 n2 1 s22 n1 n2 2 Confidence interval for 1 2 y1 y2 t 2 k n 1 s p 1 1 1 1 to y1 y2 t 2 k n 1 s p n1 n2 n1 n2 For most situations use a value of 2 for t 2 k n 1 Analysis of Variance k groups n observations per group SSWithin SS repError n 1 si2 df n 1 k n 1 MSWithin MSrepError s 2p LSD t 2 k n 1 s p SSWithin k n 1 2 n Replace t 2 k n 1 by the value 2 for most situations For large values of k replace t 2 k n 1 by the value 3 A difference in sample means is statistically significant if the absolute value of the difference is greater than the value of LSD 1 Least Squares Regression C1iYi C12i 1 linear slope estimate m intercept estimate b Y 1C1 prediction equation Y b m 1 2 n C12i SS Linear m MS Linear df Linear 1 SS Linear df Linear MS Linear MS repError t Linear F The linear term is statistically significant if t Linear is greater than 2 or 3 2 quadratic slope estimate m C 2iYi C22i 1C1 m 2C 2 prediction equation Y b m 2 2 n C 22i SSQuadratic m MSQuadratic df Quadratic 1 SSQuadratic df Quadratic tQuadratic F MSQuadratic MS repError The quadratic term is statistically significant if tQuadratic is greater than 2 or 3 Coefficient of Determination R 2 SS Model SSTotal Simple linear model SS Model SS Linear Model with linear and quadratic terms SS Model SS Linear SSQuadratic 2

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