CAS Exam MAS-II Fall 2019, Question 14
Study guide: Exam MAS-II
You are conducting an experiment with two levels: packets of pea plant seeds and the pea plant seeds themselves. You are interested in the effect of different types of light on height of the pea plant after four weeks. Below is the final model:
HEIGHT_{ij} = \beta_0 + \beta_1 \ast TREAT1_j + \beta_2 \ast TREAT2_j + \beta_3 TREAT3_j + \beta_4 \ast MASS_{ij} + \beta_5 \ast NUMSEEDS_j + u_j + \varepsilon_{ij}- TREAT1, TREAT2, and TREAT3 correspond to 3 of the 4 light types used
- MASS is the mass of the given seed in grams
- NUMSEEDS is the number of seeds in the seed packet
- The model output is given below:
## Fixed effects: height ~ treatment + mass + numseeds
##
## Value Std.Error DF
## (Intercept) 10.118 0.7067 294
## TREAT1 -5.320 0.3493 22
## TREAT2 -7.824 0.3388 22
## Treat3 -4.373 0.3474 22
## mass 0.111 0.1049 294
## numseeds -0.053 0.0422 22
Determine the equation to predict pea plant height for a specific seed in a specific seed packet under TREAT1.
- A)
\widehat{HEIGHT}_{ij} = 4.798 + 0.111 \ast MASS_{ij} - 0.053 \ast NUMSEEDS_j + \hat{u}_j + \varepsilon_{ij} - B)
\widehat{HEIGHT}_{ij} = 4.798 + 0.111 \ast MASS_{ij} - 0.053 \ast NUMSEEDS_j + \hat{u}_j - C)
\widehat{HEIGHT}_{ij} = 4.798 + 0.111 \ast MASS_{ij} - 0.053 \ast NUMSEEDS_j - D)
\widehat{HEIGHT}_{ij} = 10.118 + 0.111 \ast MASS_{ij} - 0.053 \ast NUMSEEDS_j + \hat{u}_j + \varepsilon_{ij} - E)
\widehat{HEIGHT}_{ij} = 10.118 + 0.111 \ast MASS_{ij} - 0.053 \ast NUMSEEDS_j + \hat{u}_j
Answer this question and see the worked solution