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Fall Final Topics by “Notecard”
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Sampling simple random sample, cluster random sample, stratified random sample, systematic random sample, multistage voluntary response, convenience population, sample, census non-response, undercoverage, response bias, wording
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Experimental Design (vocabulary)
Principals of good experiment control, randomization, replication experiment vs observation study treatment, factors, experimental units, level placebo, placebo effect blind, double blind lurking variable, confounding variable
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Experimental Design completely randomized design
randomized block design matched pair always provide explanation of random allocation, describe treatments, compare in context
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Simulations Number assignment Description of a trial Stopping rule
Summary of results Be sure to clearly mark on number line so reader can follow your procedure
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Center mean median (mode) resistance to outliers
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Shape symmetrical, bell shaped skewed right (mean>median)
skewed left (mean<median) bi-modal, multi-modal uniform
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Spread (variability) minimum, maximum range interquartile range
quartiles variance standard deviation: a measure of the typical or average distance each point is located from the mean formula sheet!
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Unusual features gaps, clusters – best seen by histogram or dotplot
outliers – best identified by boxplot Q IQR Q1 – 1.5 IQR
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Binomial distribution
binomial setting…fixed # of trials binomial formula – formula sheet pdf versus cdf….n,p,k mean of binomial – formula sheet standard deviation of binomial – formula sheet calculator tricks when P(x>#)
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Linear Regression vocab
explanatory, response (predicted) formulas for regression line, r, slope, y-intercept regression line is always in context computer output centroid residual plot
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Linear Regression vocab II
influential point extrapolation associations causation, common response, confounding
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Linear Regression interpretations
slope correlation coefficient coefficient of determination y-intercept residual plot
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Nonlinear regression linear model (L1, L2)
exponential model (L1, log y) power model (log x, log y) interpretations with “log” or “ln”
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Probability rules sample space, tree diagram multiplication rule
verifying probability: 0<P<1, add to1 complement rule general addition rule – formula sheet general multiplication rule disjoint/mutually exclusive
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Conditional/independence
conditional probability given on formula sheet no formula if given tables if 1 regular/2 conditional, use tree diagram proving independence based on P(A|B) = P(A)
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Random variables basics
discrete versus continuous random variable expected value (mean), variance – formula sheet adding/subtracting constants add/subtract the mean variance is unchanged multiplying (or dividing) constants mutiply/divide the mean mutiply/divide constant2 with variance
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Combining Random variables
Add or subtract the means Always add the variances Cannot add standard deviations – must always convert!
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Geometric geometric setting … until 1st success no formulas provided
no, no, no, no …yes
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Normal distribution Empirical rule: 68-95-99.7 z-scores
assessing normality histogram/stemplot : bell shaped, symmetrical, no unusual features boxplot: symmetrical, no outliers normal probability plot: linear, no significant gaps
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