Quantitative information analysis iii

OpenStax

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Sampling and data

Sampling and data

0.1 Student learning outcomes

0.2 Introduction

7 Answers and rounding off

Descriptive statistics

Descriptive statistics

1 Displaying data

2 Stem and leaf graphs (stemplots)

5 Measures of the location of the data

6 Measures of the center of the data

7 Skewness and the mean, median, and mode

8 Measures of the spread of the data

9 Summary of formulas

Probability topics

Probability topics

2 Independent and mutually exclusive events

3 Two basic rules of probability

4 Contingency tables

5 Summary of formulas

Discrete random variables

Discrete random variables

1 Probability distribution function (pdf) for a discrete random variable

2 Mean or expected value and standard deviation

3 Common discrete probability distribution functions

6 Summary of functions

Continuous random variables

Continuous random variables

1 Continuous probability functions

2 The uniform distribution

3 The exponential distribution

4 Summary of the uniform and exponential probability distributions

The normal distribution

The normal distribution

1 The standard normal distribution

3 Areas to the left and right of x

4 Calculations of probabilities

5 Summary of formulas

The central limit theorem

The central limit theorem

1 The central limit theorem for sample means (averages)

2 The central limit theorem for sums

3 Using the central limit theorem

4 Summary of formulas

Hypothesis testing: single mean and single proportion

Hypothesis testing: single mean and single proportion

1 Null and alternate hypotheses

2 Outcomes and the type i and type ii errors

3 Distribution needed for hypothesis testing

6 Using the sample to support one of the hypotheses

7 Decision and conclusion

8 Additional information

9 Summary of the hypothesis test

10 Lab: hypothesis testing of a single mean and single proportion

Hypothesis testing: two means, paired data, two proportions

Hypothesis testing: two population means and two population proportions

1 Comparing two independent population means with unknown population

2 Comparing two independent population means with known population standard

3 Comparing two independent population proportions

4 Matched or paired samples

5 Summary of types of hypothesis tests

Confidence intervals

Confidence intervals

1 Confidence interval, single population mean, population standard deviation

2 Confidence interval, single population mean, standard deviation unknown

3 Confidence interval for a population proportion

4 Summary of formulas

F distribution and anova

F distribution and anova

2 The f distribution and the f ratio

3 Facts about the f distribution

4 Test of two variances

The chi-square distribution

The chi-square distribution

2 Facts about the chi-square distribution

3 Goodness-of-fit test

4 Test of independence

5 Test of a single variance (optional)

6 Summary of formulas

Linear regression and correlation

Linear regression and correlation

1 Linear equations

2 Slope and y-intercept of a linear equation

3 Scatter plots

4 The regression equation

5 The correlation coefficient

6 Facts about the correlation coefficient for linear regression

9 95% critical values of the sample correlation coefficient table

Source: OpenStax, Quantitative information analysis iii. OpenStax CNX. Dec 25, 2009 Download for free at http://cnx.org/content/col11155/1.1

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