Exam 2 Formula Sheet

# Exam 2 Formula Sheet - STA 3024 Introduction to Statistics...

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STA 3024 Introduction to Statistics 2 Exam 2 Formula Sheet We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honesty and integrity. Name UFID# Signature Some formulas which you might ﬁnd useful are Expected cell count = (Row total)(Column total) Total sample size χ 2 = X all cells (Observed count - Expected count) 2 Expected count df = ( r - 1)( c - 1) One-Way ANOVA SS Tot = g X i =1 n i X j =1 ( Y ij - ¯ Y •• ) 2 SS G = g X i =1 n i ( ¯ Y i - ¯ Y •• ) 2 SS E = g X i =1 n i X j =1 ( Y ij - ¯ Y i ) 2 df Tot = N - 1 df G = g - 1 df E = N - g CI for μ k - μ l : ( ¯ Y k - ¯ Y l ) ± ( t -score) s MS E ± 1 n k + 1 n l ² Two-Way ANOVA df Tot = N - 1 df A = a - 1 df B = b - 1 df AB = ( a - 1)( b - 1) df E = N - ab

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Chi-Squared Table Right-Tail Probability df 0.250 0.100 0.050 0.025 0.010 0.005 0.001 1 1.32 2.71 3.84 5.02 6.63 7.88 10.83 2 2.77 4.61 5.99 7.38 9.21 10.60 13.82 3 4.11 6.25 7.81 9.35 11.34 12.84 16.27 4 5.39 7.78 9.49 11.14 13.28 14.86 18.47 5 6.63 9.24 11.07 12.83 15.09 16.75 20.52 6 7.84 10.64 12.59 14.45 16.81 18.55 22.46 7 9.04 12.02 14.07 16.01 18.48 20.28 24.32 8 10.22 13.36 15.51 17.53 20.09 21.95 26.12 9 11.39 14.68 16.92 19.02 21.67 23.59 27.88 10 12.55 15.99 18.31 20.48 23.21 25.19 29.59 11 13.70 17.28 19.68 21.92 24.72 26.76 31.26 12 14.85 18.55 21.03 23.34 26.22 28.30 32.91 13 15.98 19.81 22.36 24.74 27.69 29.82 34.53 14 17.12 21.06 23.68 26.12 29.14 31.32 36.12 15 18.25 22.31 25.00 27.49 30.58 32.80 37.70 16 19.37 23.54 26.30 28.85 32.00 34.27 39.25 17 20.49 24.77 27.59 30.19 33.41 35.72 40.79 18 21.60 25.99 28.87 31.53 34.81 37.16 42.31 19 22.72 27.20 30.14 32.85 36.19 38.58 43.82 20 23.83 28.41 31.41 34.17 37.57 40.00 45.31 25 29.34 34.38 37.65 40.65 44.31 46.93 52.62 30 34.80 40.26 43.77 46.98 50.89 53.67
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Exam 2 Formula Sheet - STA 3024 Introduction to Statistics...

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