Collaborative Statistics (MT230-Spring 2012) by Barbara Illowsky, Ph.D., Susan Dean - HTML preview

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Index

Symbols

"hypothesis testing.", Introduction

α , Decision and Conclusion

A

Analysis of Variance, Glossary

Average, Glossary, Glossary

B

Bernoulli Trial, Binomial

Bernoulli Trials, Glossary

Binomial Distribution, Glossary, Glossary, Glossary

binomial distribution, Assumption

binomial probability distribution, Binomial

C

Central Limit Theorem, Glossary, Examples, Glossary

CLT, Using the Central Limit Theorem

Coefficient of Correlation, Glossary

collection, About Connexions

conditional, The Uniform Distribution

conditional probability, Terminology

Conditional Probability, Glossary, Glossary

confidence interval, Introduction, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t

Confidence Interval (CI), Glossary, Glossary

confidence intervals, Confidence Interval for a Population Proportion

Confidence intervals, Introduction

confidence level, Calculating the Confidence Interval, Confidence Interval for a Population Proportion

Confidence Level (CL), Glossary

contingency table, Contingency Tables, Test of Independence

Contingency Table, Glossary, Glossary

continuity correction factor, Examples of the Central Limit Theorem

continuous, Data

Continuous Random Variable, Glossary

continuous random variable, The Exponential Distribution

critical value, Calculations of Probabilities

cumulative distribution function (CDF), The Exponential Distribution

Cumulative relative frequency, Frequency

Cumulative Relative Frequency, Glossary

D

data, Statistics

Data, Key Terms, Glossary

degrees of freedom, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t

Degrees of Freedom (df), Glossary, Glossary

degrees of freedom (df), Comparing Two Independent Population Means with Unknown Population Standard Deviations

discrete, Data

Discrete Random Variable, Glossary

distribution is binomial, Confidence Interval for a Population Proportion

E

Equally likely, Terminology

Equally Likely, Glossary

error bound for a population mean, Calculating the Confidence Interval, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t

Error Bound for a Population Mean (EBM), Glossary

Error Bound for a Population Proportion(EBP), Glossary

error bound,, Confidence Interval for a Population Proportion

event, Terminology

Event, Glossary

expected value, Mean or Expected Value and Standard Deviation

Expected Value, Glossary

experiment, Terminology

Experiment, Glossary

exponential, The Exponential Distribution

Exponential Distribution, Glossary, Glossary

exponential distribution, Examples of the Central Limit Theorem

F

frequency, Frequency

Frequency, Glossary, Histograms, Glossary

G

Geometric Distribution, Glossary

H

Hypergeometric Distribution, Glossary

hypergeometric probability, Hypergeometric (optional)

hypotheses, Null and Alternate Hypotheses

Hypothesis, Glossary

hypothesis test, Assumption, Additional Information, Summary of the Hypothesis Test

Hypothesis Testing, Glossary

I

independent, Independent Events, The Multiplication Rule

Independent Events, Glossary

inferential statistics, Introduction

Inferential Statistics , Glossary

interquartile range, Measures of the Location of the Data

Interquartile Range (IRQ), Glossary

L

Law of Large Numbers, Examples of the Central Limit Theorem

Level of Significance of the Test , Glossary

M

mean, Key Terms, Measures of the Center of the Data, Mean or Expected Value and Standard Deviation, Introduction, The Central Limit Theorem for Sample Means (Averages), Examples of the Central Limit Theorem

Mean, Glossary, Glossary, Glossary

median, Box Plots, Measures of the Center of the Data

Median, Glossary

mode, Measures of the Center of the Data

Mode, Glossary

modules, About Connexions

mutually exclusive, Mutually Exclusive Events, The Addition Rule

Mutually Exclusive, Glossary

N

Normal Approximation to the Binomial, Examples of the Central Limit Theorem

Normal Distribution, Glossary, Glossary, Glossary, Glossary

normal distribution, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t, Confidence Interval for a Population Proportion, Distribution Needed for Hypothesis Testing

normally distributed, The Central Limit Theorem for Sample Means (Averages), The Central Limit Theorem for Sums, Assumption

null hypothesis, Rare Events, Using the Sample to Test the Null Hypothesis, Decision and Conclusion

O

One-Way ANOVA, F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA

outcome, Terminology

Outcome (observation), Glossary

outlier, Stem and Leaf Graphs (Stemplots), Line Graphs and Bar Graphs, Measures of the Location of the Data

Outlier, Glossary, Glossary

outliers, Measures of the Location of the Data, Outliers

P

p-value, Using the Sample to Test the Null Hypothesis, Decision and Conclusion, Additional Information, Summary of the Hypothesis Test, Glossary

parameter, Key Terms, Introduction

Parameter, Glossary

Percentile, Glossary

percentiles, Measures of the Location of the Data

point estimate, Introduction

Point Estimate, Glossary

Poisson Distribution, Glossary

Poisson probability distribution, Poisson

population, Key Terms, Variation in Samples

Population, Glossary

Probability, Probability, Glossary, Glossary

probability, Terminology

probability distribution function, Probability Distribution Function (PDF) for a Discrete Random Variable

Probability Distribution Function (PDF), Glossary

proportion, Key Terms

Proportion, Glossary

Q

Qualitative data, Data

Qualitative Data, Glossary

Quantitative data, Data

Quantitative Data, Glossary

Quartiles, Box Plots, Glossary

quartiles, Measures of the Location of the Data

R

random variable , Introduction

Random variable, Comparing Two Independent Population Means with Unknown Population Standard Deviations

Random Variable, Comparing Two Independent Population Means with Known Population Standard Deviations

Random Variable (RV), Glossary

relative frequency, Frequency, Histograms

Relative Frequency, Glossary, Glossary

S

sample, Key Terms

Sample, Glossary

sample space, Terminology, The Multiplication Rule, Tree Diagrams (optional)

Sample Space, Glossary

samples, Variation in Samples

sampling, Key Terms

sampling distribution, Sampling Distributions and Statistic of a Sampling Distribution

sampling variability of a statistic, Measures of the Spread of the Data

standard deviation, Measures of the Spread of the Data, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t, Distribution Needed for Hypothesis Testing, Assumption, Using the Sample to Test the Null Hypothesis, Examples

Standard Deviation, Glossary, Glossary, Glossary, Glossary

standard error, Comparing Two Independent Population Means with Unknown Population Standard Deviations

Standard Error of the Mean, Glossary

standard error of the mean., The Central Limit Theorem for Sample Means (Averages)

standard normal distribution, The Standard Normal Distribution

Standard Normal Distribution, Glossary

statistic, Key Terms, Sampling Distributions and Statistic of a Sampling Distribution

Statistic, Glossary

statistics, Statistics

Student's-t distribution, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t, Assumption

Student's-t Distribution, Glossary, Glossary

student's-t distribution., Distribution Needed for Hypothesis Testing

Student-t Distribution, Glossary

T

The Central Limit Theorem, Introduction, The Central Limit Theorem for Sample Means (Averages)

tree diagram, Tree Diagrams (optional)

Tree Diagram, Glossary

Type 1 Error, Glossary

Type 2 Error, Glossary

Type I error, Outcomes and the Type I and Type II Errors, Decision and Conclusion

Type II error, Outcomes and the Type I and Type II Errors

U

uniform distribution, The Uniform Distribution

Uniform Distribution, Glossary, Glossary

V

variable, Key Terms

Variable, Glossary

Variable (Random Variable), Glossary, Glossary

variance, Measures of the Spread of the Data

Variance, Glossary, Glossary

variances, F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA

Venn diagram, Venn Diagrams (optional)

Venn Diagram, Glossary

Z

z-score, Glossary, Confidence Interval, Single Population Mean, Standard Deviation Unknown, Student's-t

z-scores, The Standard Normal Distribution