Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
Assignment 6 Key
Here's a table of means useful for parts A and C  G
Glue
1
2
3
All
Pine 364.25 378.75 453.25 398.75
Fir 367.00 330.75 386.75 361.50
All 365.62 354.75 420.00 380.12
A. The following g
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
STAT 890: Assignment 3 Instructions: In this assignment I want you to introduce to the tools of characteristic functions. 1. Prove that in any separable metric space if Xn X in probability or almost s
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
Metric Spaces Definition: A metric space is an ordered pair (S, d) where S is a set and d a function on S S with the properties of a metric, namely:
1. d(x, y) = d(y, x) 0.
2. d(x, y) = 0 iff x = y.
3
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
STAT 890: Assignment 2 Instructions: In this assignment I want you to introduce to the tools of characteristic functions. You will need some tools which you can use without proof; others I will give h
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
Probability Definitions Probability Space : ordered triple (, F , P ).
is a set (possible outcomes); elements are called elementary outcomes.
F is a family of subsets (events) of with the property t
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
Convergence in Distribution Undergraduate version of central limit theorem: if X1, . . . , Xn are iid from a population with mean and standard deviation then n1/2(X )/ has approximately a normal distr
Applied Statistical Methods for Physiology and Kinesiology
STAT 890

Spring 2014
Another example: estimating equations. Suppose Y1, . . . , Yn independent and x1, . . . , xn constants. Given: a function g(y, x, ) such that E [g(Yi, xi, o)] = 0 for all i and some particular o. Incl