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More Fun with Centers of Distributions
More Fun with Centers of Distributions

Crash Course on Basic Statistics
Crash Course on Basic Statistics

... than the sample median. As the sample sizes get larger (above 25) the median tends to be the best estimate of the middle value. We can use binomial distribution to estimate the confidence intervals: the following formula constructs a confidence interval around any percentile. The median (0.5) would ...
Analytical Chemistry is Scientific Practice that Tells Us
Analytical Chemistry is Scientific Practice that Tells Us

Week 11, Lecture 3, The regression assumptions
Week 11, Lecture 3, The regression assumptions

SUFFICIENT STATISTICS 1. Introduction Let X = (X 1,...,Xn) be a
SUFFICIENT STATISTICS 1. Introduction Let X = (X 1,...,Xn) be a

... Let X = (X1 , . . . , Xn ) be a random sample from fθ , where θ ∈ Θ is unknown. We are interested using X to estimate θ. In the simple case where Xi ∼ Bern(p), we found that the sample mean was an efficient estimator for p. Thus, if we observe a finite sequence of coin flips, in order to have an eff ...
Chapter 3 : Central Tendency
Chapter 3 : Central Tendency

21.statistics - Illinois State University Department of Psychology
21.statistics - Illinois State University Department of Psychology

Lecture 4 : The Binomial Distribution
Lecture 4 : The Binomial Distribution

SPS01
SPS01

overhead - 09 Univariate Probability Distributions
overhead - 09 Univariate Probability Distributions

... Develop the parameters if simulating variable using the mean to forecast the deterministic component: ...
Hypothesis Testing
Hypothesis Testing

Data Analysis
Data Analysis

36c6d9a31e04bad
36c6d9a31e04bad

... spread out/clustered together the scores are Variability is usually defined in terms of distance  How far apart scores are from each other  How far apart scores are from the mean  How representative a score is of the data set as a whole ...
Problem 4 (5 points)
Problem 4 (5 points)

... a. The line that makes the square of the correlation in the data as large as possible. b. The line that makes the sum of the squares of the vertical distances of the data points from the line as small as possible. c. The line that best splits the data in half, with half of the points above the line ...
Statistics Unit 2 Exam – Topics 6-10
Statistics Unit 2 Exam – Topics 6-10

Analysis of Quantitative Data
Analysis of Quantitative Data

Normal Distribution
Normal Distribution

Statistics in Applied Science and Technology
Statistics in Applied Science and Technology

1 Statistical Tests of Hypotheses
1 Statistical Tests of Hypotheses

Chapter3.3to3.4
Chapter3.3to3.4

... A normal distribution creates a histogram that is symmetrical and has a bell shape, and is used quite a bit in statistical analyses Also called a Gaussian Distribution It is symmetrical with equal mean, median and mode that fall on the line of symmetry of the curve ...
Marketing Research
Marketing Research

... Used when a person knows from experience what sample size to adopt ...
Task - Illustrative Mathematics
Task - Illustrative Mathematics

28 - Colorado Mesa University
28 - Colorado Mesa University

File psychology stats power p
File psychology stats power p

... the formulas for these measurements. Then we will go through the steps on how to use the formulas. ...
Data & Univariate Statistics
Data & Univariate Statistics

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Bootstrapping (statistics)



In statistics, bootstrapping can refer to any test or metric that relies on random sampling with replacement. Bootstrapping allows assigning measures of accuracy (defined in terms of bias, variance, confidence intervals, prediction error or some other such measure) to sample estimates. This technique allows estimation of the sampling distribution of almost any statistic using random sampling methods. Generally, it falls in the broader class of resampling methods.Bootstrapping is the practice of estimating properties of an estimator (such as its variance) by measuring those properties when sampling from an approximating distribution. One standard choice for an approximating distribution is the empirical distribution function of the observed data. In the case where a set of observations can be assumed to be from an independent and identically distributed population, this can be implemented by constructing a number of resamples with replacement, of the observed dataset (and of equal size to the observed dataset).It may also be used for constructing hypothesis tests. It is often used as an alternative to statistical inference based on the assumption of a parametric model when that assumption is in doubt, or where parametric inference is impossible or requires complicated formulas for the calculation of standard errors.
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