Statistic formulas - STATISTICS FORMULAS DESCRIPTIVE STATISTICS HYPOTHESIS TESTING MEANS MEAN STANDARD ERROR VARIANCE MARGIN OF ERROR m = STANDARD

# Statistic formulas - STATISTICS FORMULAS DESCRIPTIVE...

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Reference: Moore DS, McCabe GP & Craig BA. Introduction to the Basic Practice of Statistics . New York: W.H. Freeman & Co, 5 th edition. STATISTICS FORMULAS DESCRIPTIVE STATISTICS: MEAN: VARIANCE: STANDARD DEVIATION: STANDARD ERROR: Z-SCORE: REGRESSION LINES: For a data set , where ( ) are the centroids (means) of the data set, and is the correlation coefficient: LEAST-SQUARES REGRESSION LINE: + RESIDUALS: SSM SSE SST = SSM+SSE COEFFICIENT OF DETERMINATION: r 2 = CORRELATION COEFFICIENT: r = SLOPE: INTERCEPT: VARIANCE: ST DEV: STANDARD ERROR b 1 : SE b1 = STANDARD ERROR b o : SE b0 = CONFIDENCE LEVEL FOR THE INTERCEPT : t*SE b0 CONFIDENCE LEVEL FOR THE SLOPE: : t*SE b1 PREDICTION INTERVAL: HYPOTHESIS TESTING MEANS: STANDARD ERROR: MARGIN OF ERROR: m = or m = CONFIDENCE INTERVAL: C.I. = SAMPLE SIZE FOR A GIVEN m: ONE SAMPLE Z-TEST: T-TEST: TWO SAMPLE Z-TEST: TWO SAMPLE T-TEST: PROPORTION: , where X= number of successes STANDARD ERROR: MARGIN OF ERROR: m = Z-TEST, ONE-SAMPLE PROPORTION: STD ERR, 2-SAMP PROP: MARGIN OF ERR, 2-SAMP PROP: m = PLUS FOUR PROPORTIONS: EST DIFF BTWN PROPS: STD DEV: POOLED PROPORTION: POOLED STD ERR: TWO SAMPLE Z-SCORE:
Reference: Moore DS, McCabe GP & Craig BA. Introduction to the Basic Practice of Statistics . Ne w York: W.H. Freeman & Co, 5 th edition.