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I am working on an assignment in a course called Applied Mathematical Statistics. In the course, the following is handled in the field of Variance Analysis:
Variance analysis: Simple, double and multiple side splitting, hierarchical splitting. Systematical and stochastic components.
The assignment is like this:
The Head Institute for Control of Measurement and Testing sends out 10 concrete pipes to 10 smaller measuring institutes. The smaller instutes measure 4 different diameters, the inner and outer diameters of both ends of each pipe.
We are given 4 different data:
y = all the measurements (total of 440)
diameter = which diameter is measured (1, 2, 3, 4 [each representing an inner or outer diameter])
institue = measurement institute (1 - 11, 11 because the Head Institute also measured the pipes before sending them out)
pipe = pipe nr. 1 - 11
When analyzing the data we are supposed to answer whether one of the institutes differs from the others in terms of how they measure? Are the four different diameters measured equivalently by the institutes?
We are supposed to solve this in MINITAB and I am having a problem with making a correct model. I already handed it in one time but it wasn't correct.