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Class Notes for Statistics at University of Alberta

STAT151 Lecture Notes - Lecture 22: Statistical Parameter, Statistic, Confidence Interval
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STAT 151: Lecture 22 Sampling Proportion Part 2 Comparing 2 Proportions This is similar to comparing 2 Distribution means We want to find out if the difference To do this, we need to test But we usually do not have p (the ...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 23: Univariate, Test Statistic, Test Data
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STAT 151: Lecture 23 Comparing Counts GoodnessofFit Test 2 also called Univariate (pronounced chi squared) TestX This test is used when there is 1 categorical variable with two or more categories Example: The number of cou...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 21: F-Distribution, 2Degrees, Analysis Of Variance
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STAT 151: Lecture 21 - ANOVA Test Part 2 Sampling Proportion Part - The F Distribution o To calculate for the corresponding p-value of the f-statistic, we will use the F tables o In this case, because there are two d...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 20: Null Hypothesis
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STAT 151: Lecture 20 ANOVA Test Part 1 ANOVA (ANalysis Of VAriance) This test is used to compare the means of 2 or more different populations by analyzing the variances The variances are analyzed because there is the possi...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 19: Test Statistic, Common Cold, Null Hypothesis
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STAT 151: Lecture 19 Pooled Ttest and Paired tTest Pooled tTest The hypothesis tests for the pooled ttests are the same as for nonpooled tests To calculate the confidence interval, we use this formula: Again, the formula f...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 18: Common Cold, Null Hypothesis, Point Estimation
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STAT 151: Lecture 18 Independent Populations Part 1 Independent Population two populations dont impact each other i.e. height of males and height of females Dependent Population two populations do impact each other Always ...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 17: Sample Size Determination, Needed Me, Confidence Interval
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STATS 151: Lecture 17 Statistical Inference Part 4: Confidence Intervals and Hypothesis Tests Confidence Intervals and Hypothesis Tests are built from the same calculations They have the same assumptions and conditions Bas...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 16: Technology In Revelation Space, Standard Deviation, Type I And Type Ii Errors
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STATS 151: Lecture 16 Confidence Intervals Part 3 Hypothesis Test A method to test sample statistics when compared to the population parameter. Questions to ask: Is the statistic greater thanless thanequal to the parameter...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 15: Standard Deviation, Nypd Blue, 2Degrees
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STAT 151: Lecture 15 Confidence Intervals for Proportions Part 2 Making Inferences about the Mean Part 1 How to choose a sample size: Remember! Margin of error is: If we want a specific margin of error, sample size (n) ne...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 14: Point Estimation, Central Limit Theorem, Standard Deviation
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STAT 151: Lecture 14 Confidence Intervals for Proportions Part 1 Inferential Statistics Involves using sample data to make conclusions about the whole population The goal is to describe the population based on a sample Rem...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 13: Standard Deviation, Sampling Distribution
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STAT 151: Lecture 13 Sampling Distributi

Statistics
STAT151
Rosana Fok
STAT 151 Lecture 12: Sampling Distribution Models Part 2
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STAT 151: Lecture 12 Sampling Distribution Models Part 2 Assumptions and Conditions for Sample Proportions Independence Assumption The samples must be independent of each other Samples that are not independent are dependen...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 11: Statistic, Unimodality, Sampling Distribution
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STAT 151: Lecture 11 Random Variables Part 2 Sampling Distribution Models Part 1 Shifting: Adding or Subtracting a constant changes the mean but does not change the variance or standard deviation Rescaling: Multiplying or...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 10: Random Variable
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STAT 151: Lecture 10 Random Variables Part 1 Random Variable (rv) The notation X (capital x) denotes the VALUE of a random variable X = the number of tails of tails occurring P(X) = probability of tails occurring it depen...

Statistics
STAT151
Rosana Fok
STAT151 Lecture Notes - Lecture 9: Randomness, Conditional Probability
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STAT151: Lecture 9 Randomness and Probability Part 2 Multiplication Rule Used in independent events Remember! Independent events are events that do not affect the probability of the second event happening. They can overlap...

Statistics
STAT151
Rosana Fok
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
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