Previous studies suggest that vegetarians may not receive enough zinc in their d
ID: 3053863 • Letter: P
Question
Previous studies suggest that vegetarians may not receive enough zinc in their diets. As the zinc requirement is particularly important during pregnancy, researchers conducted a study to determine whether vegetarian pregnant women are at greater risk from low zinc levels than are nonvegetarian pregnant women.
22 women were monitored. The following table presents the zinc levels (ug/g) in the hair of three groups of women. (Data from J. C. King. Nutrition34 (1981): 1049-1055.)
How many degrees of freedom for the Between Groups calculation?
How many degrees of freedom for the Within Groups calculation?
F =
Critical Value of F = (use alpha = 0.05)
Should you reject the null hypothesis?
Nonpregnant vegetarians 139 172 198 Pregnant vegetarians Pregnant nonvegetarians 185 189 187 181 176 207 210 174 186 163 150 125 189 179 174 184Explanation / Answer
One-way ANOVA: response versus factor
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level ? = 0.05
Factor Information
Factor Levels Values
factor 3 1, 2, 3
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
between 2 2022 1011.2 3.10 0.068
within 19 6196 326.1
Total 21 8219
DF (between groups calculation) = 2
DF ( within groups calculation) = 19
F calc = 3.10
Critical value = Fcrit = 3.52
Fcalc < Fcrit
Do not reject H0
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