Formulas_Exam1

Formulas_Exam1 - intercept : estimate slope linear 2 1 2 1...

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Formulas for Exam 1 Two independent samples Test Statistic for testing 0 : or : 2 1 0 2 1 0 H H    2 1 1 1 1 0 2 1 2 2 2 2 1 1 2 1 2 1 n n s n s n s n n s y y t p p Confidence interval for 2 1 :     2 1 1 , 2 2 1 2 1 1 , 2 2 1 1 1 to 1 1 n n s t y y n n s t y y p n k p n k For most situations, use a value of 2 for  1 , 2 n k t . Analysis of Variance: k groups, n observations per group       n s t LSD n k SS s MS MS n k n df s n SS SS p n k Within p repError Within i repError Within 2 1 1 1 1 1 , 2 2 2 Replace 1 , 2 n k t by the value 2 for most situations. For large values of k replace 1 , 2 n k t 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
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Least Squares Regression      repError Linear Linear Linear Linear Linear Linear i Linear i i i MS MS F t df SS MS df C n m SS C m b Y Y b C Y C m 1 ˆ ˆ ˆ ˆ : equation prediction ˆ : estimate
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Unformatted text preview: intercept : estimate slope linear 2 1 2 1 1 1 2 1 1 1 The linear term is statistically significant if is greater than 2 or 3. Linear t repError Quadratic Quadratic Quadratic Quadratic Quadratic Quadratic i Quadratic i i i MS MS F t df SS MS df C n m SS C m C m b Y C Y C m 1 : equation prediction : estimate slope quadratic 2 2 2 2 2 2 1 1 2 2 2 2 The quadratic term is statistically significant if is greater than 2 or 3. Quadratic t Coefficient of Determination: Total Model SS SS R 2 Simple linear model: Linear Model SS SS Model with linear and quadratic terms: Quadratic Linear Model SS SS SS 2...
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This note was uploaded on 02/11/2012 for the course STAT 496 taught by Professor Staff during the Spring '08 term at Iowa State.

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Formulas_Exam1 - intercept : estimate slope linear 2 1 2 1...

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