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### 19 Cards in this Set

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 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 x-bar which is a graph of type II error Types of t-tests Pooled, 2-simple, Paired...for 2-simple, 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 T-Test Values must be associated by design, not arbitrarily; experiments designed in pairs, should be analyzed that way Study Rejection Regions for F-Test 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