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Class Notes for Statistics and Probability at Arizona State University

STP 231 Lecture 27: In Depth Example
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STP 231 Lecture 27 In Depth Example Making Predictions ox = number of beers oy = BAC oyhat = .018x .012 oIf x = 0 the yhat = .012 oIf x = 1.5, yhat = .018(1.5) .012 = .015 x = 1.5 must be inside the data range oIf x = 15...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 26: Data Point
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STP 231 Lecture 26 Continue Chapter 12 Chapter 12 oNotes about regression line (mean of x, mean of y) lies on the fitted line Can be used to predict values Assumed that data points are more or less in a line, if in a curve...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 25: Data Set, Scatter Plot
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STP 231 Lecture 25 Begin Chapter 12 Chapter 12 ox,y quantitative variables oData set x,)(y 11 ),(xy 22 ),(xy 33 x,)(y 44 oLinear relationships If there can be a line drawn through the data points of a scatter plot there is...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 24: Null Hypothesis, Design Patterns
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STP 231 - Lecture 24 - Review and Quiz Review 1. Is die loaded? 2.Data o Observed 3.Use the GOF test 4. Process o First set up your null hypothesis and alternative hypothesis o Next figure out expected value ...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 23: Null Hypothesis
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STP 231 Lecture 23 Chi Squared Independence Ex 1.GOF 1.chi squared of sample = 12.2 2.Degrees of freedom = 3 3.Alpha = .05 4.chi squared cdf ( 12.2, 1000000, 3) = .0067 1..0067 < .05 1.Reject the null hypothesis Chi Square...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 22: Design Patterns
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STP 231 Lecture 22 GOF Review 1.CI for p = pop. y+2 2. n+4 3.95 CI p 1. p1.96SE p 4. SE p(1ptilde) 1. n+4 5.Sample is considered large if y, ny 5 Calculato

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 21: Confidence Interval
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STP 231 Lecture 21 Categorical Data Categorical Data 1.Population 1.p = population proportion 2.Split up into two categories 1.A 2.Not A 2.Sample 1.Split up also 1.A 2.Not A 2.n = size 3.y = number in sample with A 3.Ordin...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 14: Confidence Interval
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STP 231 Lecture 14 Pooled Data Pooled t intervals under assumption = 12 11 o SE=s+ p pooled nn 12 oPooled t interval CI for : 12 11 )(s) (sample meansample mean+ p 12 nn 12 df = n+n2 12 Ex. oConfidence interval (.8256,.394...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 13: Standard Error
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STP 231 Lecture 13 Two Populations Inferences for two population means oAssume we have two independent random samples each of independent observations from two large populations oPopulations must be normal for small sample...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture 20: Review
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STP 231 Lecture 20 Review Problem oAlcohol y 1 oNon Alcohol y 2 od= 12 od=yy 12 o0N=1 oN=2 + oHo d=0 (+)p()12p= = oHa d<0 (+)()p<p o0B=1 s oP value P(10 or more ()s if Ho is true) oC

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 16: Type I And Type Ii Errors
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STP 231 Lecture 16 Testing Hypotheses Errors in testing Hypotheses oWhen you reject the Ho and the Ho is true Type I error oWhen you do not reject the Ho and the Ho is false Type II error o(Type I error)P= Significance lev...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 19: Null Hypothesis
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STP 231 Lecture 19 Sign Test Sign Test 1.Test for matched pairs data 2.Uses nonparametric procedures 3.Only a sign of differences is considered 1.If difference 0, it is ignored, unlike ttest Test Statistics + 4.is the numb...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 18: Standard Deviation, Standard Error
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STP 231 Lecture 18 Controlling Ex oHo: = 12 oHa: 12 oHo not rejected and later finds that oThis is a Type II error Ex oHo: = 12 oHa: 12 o.46meant=1>mean 12 of7d=1 o16=. Controlling oWhen wary of certain characteristics hav...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 15: Confidence Interval, Alternative Hypothesis, Null Hypothesis
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STP 231 Lecture 15 Testing Hypothesis Confidence Level 1.(1) x 100 T distribution samplemeanpopulationmean S 2. n Confidence interval of population mean 3.Sample mean (t)(Sn) 1.Sample mean (t)(margin of error) T Values 4.L...

Statistics and Probability
STP 231
Jackiewicz
STP 231 Lecture Notes - Lecture 12: Confidence Interval, Standard Deviation, Standard Error
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STP 231 Lecture 12 Confidence Intervals Confidence Intervals 1.Can be taken from population parameters 1.Mean 2.Proportion 2.General form 1.Estimate Margin of error 3.Confidence level 1.(1)*100 4.Interpretation of Confiden...

Statistics and Probability
STP 231
Jackiewicz
Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors

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