Collaborative statistics-parzen remix

OpenStax

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0.1 About connexions

0.2 About “collaborative statistics”

1 Author ackowledgements

Sampling and data

Sampling and data

7 Answers and rounding off

Descriptive statistics

Descriptive statistics

1 Displaying data

4 Measures of the location of the data

5 Measures of the center of the data

6 Skewness and the mean, median, and mode

7 Measures of the spread of the data

8 Summary of formulas

Probability topics

Probability topics

2 Independent and mutually exclusive events

3 Two basic rules of probability

4 Contingency tables

5 Venn diagrams (optional)

6 Tree diagrams (optional)

7 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

5 Summary of functions

6 Lab 2: discrete distribution (lucky dice experiment)

Continuous random variables

Continuous random variables

1 Continuous probability functions

2 The uniform distribution

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

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

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

11 Summary of formulas

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

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, Collaborative statistics-parzen remix. OpenStax CNX. Jul 15, 2009 Download for free at http://legacy.cnx.org/content/col10732/1.2

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