chi-square: testing for goodness of fit
... like that shown in Eq. 1. It will contain N terms, constituting a sample value for χ 2 . In forming the sum, we must use estimates for the σi that are independently obtained for each xi .4 Now imagine, for a moment, that we could repeat our experiment many times. Each time, we would obtain a data sa ...
... like that shown in Eq. 1. It will contain N terms, constituting a sample value for χ 2 . In forming the sum, we must use estimates for the σi that are independently obtained for each xi .4 Now imagine, for a moment, that we could repeat our experiment many times. Each time, we would obtain a data sa ...
Statistical Inference Procedures
... This presentation considers only confidence intervals for µ. The basis for this important topic is the sampling distribution of X . ...
... This presentation considers only confidence intervals for µ. The basis for this important topic is the sampling distribution of X . ...
Slide 1
... What NOT to say: “The mean pollution level of is 300 tons per year 95% of the time.” The true mean does not vary—it’s the confidence interval that would be different had we gotten a different sample. “95% of all samples will have pollution levels between 214.45 and 385.55 tons per year.” The i ...
... What NOT to say: “The mean pollution level of is 300 tons per year 95% of the time.” The true mean does not vary—it’s the confidence interval that would be different had we gotten a different sample. “95% of all samples will have pollution levels between 214.45 and 385.55 tons per year.” The i ...
Statistics and Hypothesis Testing
... We never learn the true value of µY , the population mean of Y (the object inside the box). But from sample data we can specify a range, the confidence interval that is 95 percent (or any other pre-specified percent, the confidence level) likely to include the population mean. Thought experiment: us ...
... We never learn the true value of µY , the population mean of Y (the object inside the box). But from sample data we can specify a range, the confidence interval that is 95 percent (or any other pre-specified percent, the confidence level) likely to include the population mean. Thought experiment: us ...
Sampling Distributions - University of Arizona Math
... Ex: Could all the scales on the vertical axes be the same? Are all the distributions the same height? Because the total area under each one has to be 1, as the distribution becomes narrower, it becomes taller. As the sample size gets larger, more sample statistics are close to the mean, so pdf graph ...
... Ex: Could all the scales on the vertical axes be the same? Are all the distributions the same height? Because the total area under each one has to be 1, as the distribution becomes narrower, it becomes taller. As the sample size gets larger, more sample statistics are close to the mean, so pdf graph ...
Basic statistical concepts
... Example : Lung capacity Under the null, T ∼ t(df = 335 + 301 − 2). P-value: P(|T| > 5.01) = P(T < −5.01) + P(T > 5.01) ...
... Example : Lung capacity Under the null, T ∼ t(df = 335 + 301 − 2). P-value: P(|T| > 5.01) = P(T < −5.01) + P(T > 5.01) ...