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MATH 105: [Probability and] Statistics Joe Whittaker B25 Fylde
MATH 105: [Probability and] Statistics Joe Whittaker B25 Fylde

... Secondly, the extension of probability from discrete random variables, discussed in math104, to continuous random variables is discussed here. Both the discrete and the continous cases are needed for statistics. The mathematical prerequisites for the analysis of continuous random variables is the in ...
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... (b) If we took another random sample of trees, we would find that 40% of these would show some signs of damage. (c) If a sample of 1000 trees was examined, the variability of the sample proportion would be larger than for a sample of 100 trees. (d) This is a comparative experiment. (e) none of these ...
Solution to Practice Problems for Midterm #1
Solution to Practice Problems for Midterm #1

... Answer: The statement is decidedly incorrect. Transparency is important for both communicative reasons and ethical reasons. If we present data (or descriptions of data) in such a way that it is difficult to interpret, we are guilty of potentially misleading our audience. Whether intentional or not, ...
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... comparisons with t tests and then multiplies each p-value by the number of comparisons made. This ensures that the probability of making any false rejection among all comparisons made is no greater than the chosen significance level α. As a consequence, the higher the number of pair-wise comparisons ...
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Chapter 0: Getting Started

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... second goal of science, understanding and prediction. However, this degree of control can also be a potential weakness for experiments. By controlling features of the environments of subjects the researcher may create too artificial an environment. This means that while the researcher may have accur ...
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... total, and we also still want it to be a random sample. Look back at the original sheet of rectangles (side #1). We can put the rectangles into clusters (groups) of five based on their assigned number. So the first cluster would be rectangles #1-5, the second cluster would be rectangles #6-10, and s ...
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IS 310 – Business Statistics a - California State University, Long Beach

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... When we look at effect sizes for specific contrasts, which is what we really want to do, we have better measures than those in the r-family. Rosenthal (1994) referred to these as d-family measures because they focus on the size of the difference between two groups or sets of groups. Measures in the ...
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Chapter 5-13. Monte Carlo Simulation andBootstrapping

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Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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