Operations managers often use work sampling to estimate how much ...

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Question 1

True or False.

In situations where two competing models have essentially the same predictive power (as determined by an F-test), it is standard procedure to use the model with the greater number of  parameters.
◦ True
◦ False

Question 2

Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling—which involves observing workers at random points in time—was applied to the staff of the catalog sales department of a clothing manufacturer. The department applied regression to the following data collected for 40 consecutive working days:

TIME:  y = Time spent (in hours) taking telephone orders during the day

ORDERS: x₁ = Number of telephone orders received during the day

WEEK: x₂ = 1 weekday, 0 if Saturday or Sunday

Consider the following 2 models:

Model 1: E(y) = β₀ + β₁x₁ + β₂(x₁)² + β₃x₂ + β₄x₁x₂ + β₅(x₁)²x₂
Model 2: E(y) = β₀ + β₁x₁ + β₃x₂

What strategy should you employ to decide which of the two models, the higher-order model or the simple linear model, is better?
◦ Compare the two models with a nested model F-test, i.e., test the null hypothesis, H₀: β₂ = β₄ = β₅ = 0.
◦ Compare R² values; the model with the larger R² will always be the better model.
◦ Always choose the more parsimonious of the two models, i.e., the model with the fewest number of β-coefficients.
◦ Compare the two models with a t-test, i.e., test the null hypothesis, H₀: β₁ = 0.

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[EJ Yang]

thank you