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Confidence Intervals, Part 1: Assessing the Accuracy of Samples
Confidence Intervals, Part 1: Assessing the Accuracy of Samples

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... use a graphing calculator to run a Monte Carlo simulation and perform a graphical analysis of the paradox. This is a model-eliciting activity where students have been asked by a new website, CollegeReview.com, to come up with a system to rank various colleges based on five categories; tuition cost, ...
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... Draw an SRS of size n from a large population having unknown mean µ. A level C confidence interval for µ is s x̄ ± t ∗ √ n where t ∗ is the critical value for the t(n − 1) density curve with area C between −t ∗ and t ∗ . This interval is exact when the population distribution is Normal and is approx ...
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Lecture 12: Confidence Intervals

... • The event in parentheses above is a random interval with the left endpoint X̄ − 1.96 √σn and right endpoint X̄ + 1.96 √σn . It is centered at sample mean X̄ . • For a given sample X1 = x1 , . . . , Xn = xn , we compute the observed sample mean x̄ and substitute it in the definition of our random i ...
margin of error
margin of error

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Posterior - WordPress.com

... In 2010, Sturaro, Denissen, van Aken, and Asendorpf, once again, investigated the personality–relationship transaction model Sturaro et al. found some contradictory results compared to the ...
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... We then used the definition of even numbers, and our previous parenthetic comment suggests that it was natural for us to use the definition symbolically. The definition tells us that if m is an even number, then there exists another integer i such that m = 2i. We combined this with the assumption that ...
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... The larger the sample, the more likely your sample statistic is to be a good estimate of the population parameter. However, for estimating the mean or median of populations up to 1000, a sample of about 30 is usually big enough to give a reasonable estimate. ...
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... The statistical model is simply the distribution that we assume for the observation X. Usually we shall specify the distribution using its probability density function (p.d.f.) if the experiment yields a continuous measurement such as a mass, a time, a height etc. or probability mass function (p.m.f ...
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Read the textbook

Permutation Tests - Stony Brook University
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Chapter 1 Looking at Data— Distributions

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Statistical inference

Statistical inference is the process of deducing properties of an underlying distribution by analysis of data. Inferential statistical analysis infers properties about a population: this includes testing hypotheses and deriving estimates. The population is assumed to be larger than the observed data set; in other words, the observed data is assumed to be sampled from a larger population.Inferential statistics can be contrasted with descriptive statistics. Descriptive statistics is solely concerned with properties of the observed data, and does not assume that the data came from a larger population.
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