Ch04 - -1 Statistical Inference • The field of statistical inference consists of those methods used to make decisions or draw conclusions about a

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Unformatted text preview: -1 Statistical Inference • The field of statistical inference consists of those methods used to make decisions or draw conclusions about a population . • These methods utilize the information contained in a sample from the population in drawing conclusions. -1 Statistical Inference-2 Point Estimation-2 Point Estimation-2 Point Estimation-3 Hypothesis Testing We like to think of statistical hypothesis testing as the data analysis stage of a comparative experiment , in which the engineer is interested, for example, in comparing the mean of a population to a specified value (e.g. mean pull strength). 4-3.1 Statistical Hypotheses-3 Hypothesis Testing For example, suppose that we are interested in the burning rate of a solid propellant used to power aircrew escape systems. • Now burning rate is a random variable that can be described by a probability distribution. • Suppose that our interest focuses on the mean burning rate (a parameter of this distribution). • Specifically, we are interested in deciding whether or not the mean burning rate is 50 centimeters per second. 4-3.1 Statistical Hypotheses-3 Hypothesis Testing 4-3.1 Statistical Hypotheses Two-sided Alternative Hypothesis One-sided Alternative Hypotheses-3 Hypothesis Testing 4-3.1 Statistical Hypotheses est of a Hypothesis • A procedure leading to a decision about a particular hypothesis • Hypothesis-testing procedures rely on using the information in a random sample from the population of interest . • If this information is consistent with the hypothesis, then we ill conclude that the hypothesis is true ; if this information is inconsistent with the hypothesis, we will conclude that the hypothesis is false .-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses Sometimes the type I error probability is called the significance level , or the α-error , or the size of the test.-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses-3 Hypothesis Testing 4-3.2 Testing Statistical Hypotheses • The power is computed as 1 - β , and power can be interpreted as the probability of correctly rejecting a false null hypothesis ....
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This note was uploaded on 12/25/2010 for the course ALL 0204 taught by Professor 79979 during the Spring '10 term at National Chiao Tung University.

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Ch04 - -1 Statistical Inference • The field of statistical inference consists of those methods used to make decisions or draw conclusions about a

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