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19 Cards in this Set
- Front
- Back
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Hypothesis Test
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Hypothesize a value (or range of values) for the population characteristic, then asses whether the data supports that hypothesis
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Unbiasedness
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Expected value should be equal to the desired population parameter (E(stat) = population value)
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Efficiency
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Variability of stat should be small
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Confidence Interval Assumptions
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Assume Xi are random and independent
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Z or T Confidence Interval Reminders
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Use alpha/2
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Prediction Interval
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Predict a value for future observations of a random variable
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Tolerance Interval
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Example: 95% confident that 90% of resistors will be between...
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Null Hypothesis
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Hypothesis which is allowed to stand in the absence of convincing evidence
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Alternative Hypothesis
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Hypothesis which bears the "burden of proof"
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Type I Error, alpha
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Probability of falsely rejecting the null hypothesis given that the null is true
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Type II Error, beta
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Probability of failing to reject the null hypothesis, given that the alternative is true
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Operating Characteristic Curve (OC Curve)
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Plot of beta versus x-bar which is a graph of type II error
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Types of t-tests
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Pooled, 2-simple, Paired...for 2-simple, use the funky degrees of freedom equation
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Paired Test Pros and Cons
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Randomization - if there is a systematic difference in experimental technique, type I error could occur; Paired T is more sensitive, can discern real differences
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Conditions for using Paired T-Test
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Values must be associated by design, not arbitrarily; experiments designed in pairs, should be analyzed that way
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Study Rejection Regions for F-Test
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They are kind of funky...Section 9, Page 18
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What is (yi - y^i)?
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Residual
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Method of Least Squares
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Select b1 (slope) such that the sum of the squares of the residuals is a minimum
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Meaning of P on Exam Notes
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P is 2 for straight line
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