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Investigate the use of fixed and percentile meshes when applying chi squared goodness-of-t hypothesis tests.
Apply the oversmoothing procedure to the LRL data. Compare the results of using the range and variance as measures of scale.
Find an oversmoothed rule based on the interquartile range as a measure of scale.
Use Taylor series and Riemannian integral approximations to verify
Carefully evaluate and verify the formulas in Equation. Hint :
What are the UCV and BCV bin widths for the LRL and snowfall data?
The UCV rule seems to estimate something between ISE and MISE [the middle quantity, , being the focus]. Using the exact MISE formula with Normal and lognormal data, investigate the behavior of the terms in the UCV approximation.
Take a Normal sample of size 1,000. Apply increasing degrees of rounding to the data and compare the resulting UCV curves. At what point does the minimizer of UCV become h = 0?
The total number of overtime hours (in 1000s) worked in a large steel mill was recorded for 16 quarters, as shown below. Year Quarter Overtime hour
a b c d e supply p 3 4 6 8 8 20 q 2 6 0 5 8 30 r 7 11 20 40 3 15 s 1 0 9 14 6 13 d 15 3 12 10 20
PCA is a linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data comes to lie on the first coordinat
You have an assembly line which produces 1L bottles of seltzer with a standard deviation of 0.05L. • Assuming the distribution of volume is normal, what is the chance any single
Objective of index numbers
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
1. Recognize and explain the opportunities for statistical learning. 2. Describe how the use of statistics supports student learning. 3. Recognize appropriate data displays a
Grid is the set of pairs {1, 2, 3, 4} x {1, 2, 3, 4}. Image is the power set of Grid. An element of Image is a subset of Grid and can be represented by a diagram on a 4 by 4
We are interested in assessing the effects of temperature (low, medium, and high) and technical configuration on the amount of waste output for a manufacturing plant. Suppose that
Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that
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