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Advanced Math Topics 13.1-13.3 One-Way Anova
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An ANOVA is an ANalysis Of VAriance. It is a table used to see if the means from a number of samples are significantly different.
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An ANOVA Table (1) (4) (7) (9) (2) (5) (8) (3) (6) Factor of the Experiment Error Total Sum of Squares Degrees of freedom Mean Square f-ratio Σ(row total 2 ) # of columns - ___Total 2 __ # of Boxes (sum of each # 2 ) - Σ(row total 2 ) # of columns Add cells 1 & 2 r – 1 r = # of rows r(c – 1) c = # of colums Add cells 4 & 5 Cell 1/Cell 4 Cell 2/Cell 5 Cell 7/Cell 8 Compare your test statistic to the critical value. This is found on A14-15(5%) or A16-17(1%) by looking up the d.f. for the numerator and denominator from Cell 9.
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One from the HW: P. 658 4) A study wants to compare the cost of hospitals across the country. The prices show the daily hospital charge from four hospitals in each region. At a 5% level, test the claim that the average daily charge is significantly different depending on the region. North $427382502476 South 391402427501 East 517378476409 West 501499404428 (1) (4) (7) (9) (2) (5) (8) (3) (6) 1558.5 35121.5 36680 3 12 15 519.5 2926.79 0.18 0.18 vs. 3.49: The average charges are not significantly different.
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HW: P. 658 #1,3,4
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