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19 Cards in this Set
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 Back
Hypothesis Test

Hypothesize a value (or range of values) for the population characteristic, then asses whether the data supports that hypothesis


Unbiasedness

Expected value should be equal to the desired population parameter (E(stat) = population value)


Efficiency

Variability of stat should be small


Confidence Interval Assumptions

Assume Xi are random and independent


Z or T Confidence Interval Reminders

Use alpha/2


Prediction Interval

Predict a value for future observations of a random variable


Tolerance Interval

Example: 95% confident that 90% of resistors will be between...


Null Hypothesis

Hypothesis which is allowed to stand in the absence of convincing evidence


Alternative Hypothesis

Hypothesis which bears the "burden of proof"


Type I Error, alpha

Probability of falsely rejecting the null hypothesis given that the null is true


Type II Error, beta

Probability of failing to reject the null hypothesis, given that the alternative is true


Operating Characteristic Curve (OC Curve)

Plot of beta versus xbar which is a graph of type II error


Types of ttests

Pooled, 2simple, Paired...for 2simple, use the funky degrees of freedom equation


Paired Test Pros and Cons

Randomization  if there is a systematic difference in experimental technique, type I error could occur; Paired T is more sensitive, can discern real differences


Conditions for using Paired TTest

Values must be associated by design, not arbitrarily; experiments designed in pairs, should be analyzed that way


Study Rejection Regions for FTest

They are kind of funky...Section 9, Page 18


What is (yi  y^i)?

Residual


Method of Least Squares

Select b1 (slope) such that the sum of the squares of the residuals is a minimum


Meaning of P on Exam Notes

P is 2 for straight line
