Advanced Math Topics One-Way Anova

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.

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.

One from the HW: P ) 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 $ South East West (1) (4) (7) (9) (2) (5) (8) (3) (6) vs. 3.49: The average charges are not significantly different.

HW: P. 658 #1,3,4