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Statistical Inference
Statistical Inference

... Case 1 ~ Equal Populations Variances/Standard Deviations (  1 2   2 2 =  2  common variance to both populations) Assumptions: For this case we make the following assumptions 1. The samples from the two populations were drawn independently. 2. The population variances/standard deviations are equ ...
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... This follows a chi-square distribution with degrees of freedom = 3-1-1 = 1 Since the observed value of the test statistics is more than the 5% critical value of 3.841, we have insufficient evidence at the 5% level to accept . We therefore conclude that the model does not provide a good fit to these ...
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... the samples, 95% of the resulting intervals should include the true value of the population parameter. Another way of thinking about confidence intervals is if we take a survey on a different subject each day and come up with a valid 95% confidence interval for the population mean, then over our lif ...
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... g will be concave up when g′ is increasing and where g ′′( x ) exists and is not equal to 0. g is concave up for (–2, –1), (–1, 0), and (0, 2). (Note: A function is concave up if the second derivative is positive and concave down when the second derivative is negative. No concavity exists when the s ...
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... degree of belief that an event will occur. It also forms the basis of the Bayesian method of inference. In contrast, the objective interpretation of probability is that probabilities are not personal but exist independent of our beliefs. The NHST approach and Fisher’s ideas are based on an objective ...
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Confidence interval

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