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Class Notes for Statistics at University of Vermont

STAT 111 Lecture Notes - Lecture 1: Dependent And Independent Variables, Categorical Variable, Data Set
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Why statistics? - Statistics is all about data - Collecting data - Describing data: summarizing, visualizing - Analyzing data Data are everywhere. Regardless of your field, interests, lifestyle, etc. you will most definite...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 18: Statistic, Test Statistic
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STATS 111 12/5/17 Section 7.1 Chi-Square Goodness-of-fit Test for a Single Categorical Variable Multiple Categories We know how to test a proportion for a single category of a categorical variable. ...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 17: Confidence Interval, Standardized Test, 2Degrees
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STATS 111 11/16/17 6.2 Distribution of Sample Mean Notation Review - = - = - = - = n SE for x SE = - the larger the sample size, the smaller the SE ...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 16: Junk Food, Confidence Interval, Normal Distribution
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STATS 111 11/9/17 CH.5 Section 5.1 Hypothesis Tests Using Normal Distributions - Randomization and bootstrap are bell shaped Normal Distribution - The symmetric bell-shaped curve we have seen for almost a...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 15: Statistical Parameter, Null Hypothesis, Confidence Interval
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STATS 11/7/17 Section 4.5 Making Connections Bootstrap and Randomization Distributions Bootstrap Distribution - Our best guess at the distribution of sample statistics - Centered around the observed sample ...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 14: Publication Bias, Randomized Experiment, Statistical Hypothesis Testing
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STATS 111 10/24/17 Section 4.3 Determining Statistical Significance P-value and H o - Smaller p-value the stronger the evidence against H o Formal Decisions - 2 possible conclusions of formal hypoth...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 13: Monty Hall Problem, Monty Hall, Null Hypothesis
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STATS 111 10/17/17 Section 4.1 Introducing Hypothesis Tests Monty Hall Problem - There are 3 doors (door 1,2,3) behind 2 doors are 2 goats and behind the other door is a car. - You pick door 2 -...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 12: Sampling Distribution, Confidence Interval, Percentile
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STATS 111 10/10/17 Section 3.4 Bootstrap Confidence Intervals Using Percentiles Bootstrap Confidence Intervals - Option 1: o Estimate the SE of the statistic by computing SD of bootstrap distribution a...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 11: Standard Deviation, Statistical Parameter, Confidence Interval
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STATS 111 10/5/17 Section 3.3 Confidence Intervals To create confidence interval, we need 2 things: - Statistic (mean, proportion, etc) - Standard error of that statistic 95% CI = statistic...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 10: Statistical Inference, Point Estimation, Statistic
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STATS 111 10/3/17 Unit 2 Inference Through Simulation Statistical inference - Process of drawing conclusions about entire population based on info in a sample Parameter - Number that describes a population ...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 7: Scatter Plot
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STATS 111 9/21/17 Slope and Intercept - Estimated regression line Slope - increase in predicted y for every unit increase in x Intercept - point where line crosses the y intercept ...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 6: Summary Statistics, Scatter Plot
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STATS 111 9/19/17 Section 2.5 2 Quantitative Variables: Scatterplot and Correlation Scatterplot - The graph of the relationship between 2 quantitative variables Direction of Association - Positive Associat...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 5: Histogram, Box Plot, Summary Statistics
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STATS 111 9/14/17 Boxplots and Qualitative/Categorical Relationships • Boxplot o graphical representation of the 5 number summary ▪ box in the middle ▪ line in the...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 4: Interquartile Range, Standard Deviation, Minimax
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STATS 111 9/12/17 Section 2.2 One Quantitative Variable: Shape and Center - Dot plot - Histogram - Shape o Symmetric o Skewed (left-skewed or right-skewed) ▪ Determi...

Statistics
STAT 111
Jacob William Martin
STAT 111 Lecture Notes - Lecture 3: Statistical Parameter, Summary Statistics, Descriptive Statistics
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STATS 111 9/7/17 Section 2.1 Categorical Values - Descriptive statistics (explanatory data analysis) o In order to make sense of data, we need ways to summarize and visualize o Type of summa...

Statistics
STAT 111
Jacob William Martin
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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