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23 - Analysis of Variance
23 - Analysis of Variance

... meaningful differences between groups. However it does not tell us which groups are significantly different from which other groups. To narrow down the source of differences, we may perform post hoc analysis, which essentially compares each group mean with every other group mean, looking for a signi ...
MOMENT GENERATING FUNCTIONS
MOMENT GENERATING FUNCTIONS

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1 The Gradient Statistic

... We ask, can we predict the sex of a jackal from the mandible length of a skull? We will use the linear logistic model α + β xi – x where x is the mandible length. The null hypothesis will assert that length is irrelevant, so β = 0. We will take care of the nuisance parameter a by conditioning on its ...
Probability, Statistics, and Stochastic Processes
Probability, Statistics, and Stochastic Processes

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Practice Binomial & Poisson Distribution

Wednesday 10 - 1 - Class Power Point on Standard Deviation
Wednesday 10 - 1 - Class Power Point on Standard Deviation

One-way ANOVA and Block Designs
One-way ANOVA and Block Designs

chapter 8—sampling distributions
chapter 8—sampling distributions

... 1. The first result is important since we note that if we sample from a Normal population, then the sample average is exactly normally distributed, regardless of the sample size. As a follow-up, we also know that: If the population is approx Normal, then X ≈ Normal regardless of sample size. 2. In t ...
uncertainty
uncertainty

... underlying pdf. We can only estimate  from our sample data. (There’s a lot more than 100 boxes of screws coming off the assembly line.) We denote that estimate as x . Our expectation is that x is close to . In fact, we’ll even be able to calculate how close it’s likely to be. Now the second questi ...
1 Lecture.5 Measures of dispersion - Range, Variance
1 Lecture.5 Measures of dispersion - Range, Variance

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A Simple Example Sample Space and Event Tree Diagram Tree

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For Exercises 5 and 6, complete each step. a. Use a graphing

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Gov 2000 - 4. Multiple Random Variables

... joint and conditional distributions • Remember when we defined probability we talked a lot about joint probabilities of events—what was the probability of A and B occurring: P(A ∩ B). We also talked about the conditional probability of A given that B occurred. • It turns out that a very important pa ...
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4 - MindMeister

Section 3.2 Conditional Probabilities
Section 3.2 Conditional Probabilities

Solutions to problems 1-25
Solutions to problems 1-25

Introduction to Probablity - Sys
Introduction to Probablity - Sys

... There is a 20% chance that Saskatoon will be amongst the final 5. There is a 35% chance that Moncton will be amongst the final 5 and an 8% chance that both Saskatoon and Moncton will be amongst the final 5. What is the probability that Saskatoon or Moncton will be amongst the final 5. ...
Statistics, 1e
Statistics, 1e

... bell-shaped and characterized by its mean µ and standard deviation σ. The probability of falling within any particular number of standard deviations of µ is the same for all normal distributions. ...
Presentation slides
Presentation slides

PowerPoint
PowerPoint

One-Way Analysis of Variance: Comparing Several Means
One-Way Analysis of Variance: Comparing Several Means

Total Probability and Bayes` Rule
Total Probability and Bayes` Rule

e - Stanford University
e - Stanford University

Sample Size and Errors - Gail Johnson`s Research Demystified
Sample Size and Errors - Gail Johnson`s Research Demystified

20.Additional Topics in Sampling
20.Additional Topics in Sampling

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History of statistics

The History of statistics can be said to start around 1749 although, over time, there have been changes to the interpretation of the word statistics. In early times, the meaning was restricted to information about states. This was later extended to include all collections of information of all types, and later still it was extended to include the analysis and interpretation of such data. In modern terms, ""statistics"" means both sets of collected information, as in national accounts and temperature records, and analytical work which requires statistical inference.Statistical activities are often associated with models expressed using probabilities, and require probability theory for them to be put on a firm theoretical basis: see History of probability.A number of statistical concepts have had an important impact on a wide range of sciences. These include the design of experiments and approaches to statistical inference such as Bayesian inference, each of which can be considered to have their own sequence in the development of the ideas underlying modern statistics.
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