In: Math
This problem is going to use the data set in R called "ChickWeight" that has 4 variables, as described below.
ChickWeight:
A data frame with 578 observations on 4 variables.
1) weight: a numeric vector giving the body weight of the chick
(gm).
2) Time: a numeric vector giving the number of days since birth
when the measurement was made.
3) Chick: an ordered factor with levels 18 < ... < 48 giving
a unique identifier for the chick. The ordering of the levels
groups chicks on the same diet together and orders them according
to their final weight (lightest to heaviest) within diet.
4) Diet: a factor with levels 1, ..., 4 indicating which
experimental diet the chick received.
Using a significance level of 0.05, is there evidence to support that the weight can be determined by the Time (treatment) and Diet (block)?
Fill in the R code below.
dat.aov=aov( ~ factor( ) + ,data= )
summary( )
Fill in the ANOVA table below.
Type the values into the table EXACTLY as they appear in your
output in R.
df | SS | MS | F | Pr(>F) | |
factor(Time) | 2e-16 | ||||
Diet | 2e-16 | ||||
Residuals |
Is there evidence to support that the treatment variable Time is
significant?
1. ?0:?1=?2=...=?12H0:μ1=μ2=...=μ12 vs ??:????Ha:ALOI
2. ?=0.01α=0.01
3. F =
4. ??Fα =
5. Conclusion:
Reject H0
Fail to reject H0
Interpretation:
There is sufficient evidence to support that the variable Time is
significant.
There is not sufficient evidence to support that the variable Time
is significant.
Is there evidence to support that the block variable Diet is
significant?
1. ?0:H0: No block effect vs ??:Ha: There is a block effect
2. ?=0.01α=0.01
3. F =
4. ??Fα =
5. Conclusion:
Reject H0
Fail to reject H0
Interpretation:
There is sufficient evidence to support that the variable Diet is
significant.
There is not sufficient evidence to support that the variable Diet
is significant.