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Introduction to Statistical Analysis I

Mathematical Sciences Librarian

Science Education Specialist

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For mathematics history in a country, region, use for format mathematics--country/region--history Examples:

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- Scopus This link opens in a new windowScopus is a citation database of peer-reviewed literature and quality web sources with smart tools to track analyze and visualize research. Tools to sort, refine and quickly identify results help researchers focus on the outcome of their work.
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You'll see some important buttons while using the OSU Libraries resouces. Especially important are these 4:

Where: OSU Library Catalog.

What: Have an item sent to another location for pickup or recall an item checked out.

Where: OSU Library Catalog.

What: Check for access of an individual item via OhioLINK - such as an item checked out at OSU. Also repeats searches in the OHioLINK catalog to see additional options for your need.

Where: OhioLINK Catalog

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Where: Library Databases

What: Check for online access to journal articles, conference papers, and more. Also gives interlibrary loan option if item is not available online.

- Introduction to Probability
- Probability - introduction
- Introduction to probability
- Probability
- Probability
- Probability
- Probability trees
- Data Analysis and Probability
- Probability Models
- Conditional probability
- Khan Academy: Probability explained
- Khan Academy: Probability (part 2)
- Khan Academy: Probability (part 3)
- Khan Academy: Probability (part 4)
- Khan Academy: Probability (part 5)
- Khan Academy: Probability (part 6)
- Khan Academy: Probability (part 7)
- Khan Academy: Probability (part 8)
- Khan Academy: Combinations
- Khan Academy: Permutations
- Khan Academy: Probability using combinations
- Khan Academy: Probability and combinations (part 2)
- Khan Academy: Conditional probability and combinations
- Khan Academy: Birthday probability problem
- Khan Academy: Free throwing probability
- Khan Academy: Three pointer vs free throwing probability
- Khan Academy: Mega millions jackpot probability
- Khan Academy: Probability with playing cards and Venn diagrams
- Khan Academy: Coin flipping probability
- Khan Academy: Exactly three heads in five flips
- Khan Academy: Getting exactly two heads (combinatorics)
- Khan Academy: Dependent probability example
- Khan Academy: Finding probability example 2
- Khan Academy: Compound probability of independent events
- Khan Academy: Probability without equally likely events
- Khan Academy: Frequency stability property short film
- Khan Academy: Introduction to Random Variables
- Khan Academy: Law of large numbers
- Khan Academy: Addition rule for probability

- ·Khan Academy: Permutations
- ·Khan Academy: Permutation formula
- ·Khan Academy: Combinations
- ·Khan Academy: Introduction to combinations
- ·Khan Academy: Combination formula
- ·Khan Academy: Example: Lottery probability
- ·Khan Academy: Probability using combinations

- Conditional probability
- Khan Academy: Calculating conditional probability
- Khan Academy: Conditional probability and combinations
- Khan Academy: Conditional probability tree diagram example
- Khan Academy: Marginal distribution and conditional distribution

- Khan Academy: Conditional probability and independence
- Khan Academy: Probability explained | Independent and dependent events
- Khan Academy: Chi-square test for association (independence)
- Khan Academy: Analyzing event probability for independence

- Khan Academy: 10% Rule of assuming "independence" between trials

- Binomial Distribution
- Binomial probability distribution
- Khan Academy: Visualizing a binomial distribution
- Khan Academy: Visualizing a binomial distribution

- The normal distribution
- Finding probability using a normal distribution. Part 1
- Finding probability using a normal distribution. Part 2
- Finding probability using a normal distribution. Part 3
- Finding probability using a normal distribution. Part 4
- Finding probability using a normal distribution. Part 5
- Finding Z-values with a normal distribution. Part 1
- Finding Z-values with a normal distribution. Part 2
- Finding Z-values with a normal distribution. Part 3
- Finding z-values with a normal distribution. Part 4
- Properties of the normal distribution
- The area under the normal distribution
- The normal probability distribution
- The standard normal distribution
- Khan Academy: Introduction to the normal distribution
- Khan Academy: Normal distribution problems: z-score
- Khan Academy: Normal distribution problems: Qualitative sense of normal distributions
- Khan Academy: Normal distribution problems: Empirical rule
- Khan Academy: Standard normal distribution and the empirical

- Sampling distributions
- Sampling Distributions
- Sampling distributions and large samples
- Khan Academy: Introduction to sampling distributions
- ·Khan Academy: How parameters change as data is shifted and scaled
- ·Khan Academy: Sampling distribution example problem

- Population mean and sample mean
- Khan Academy: Sampling distribution of the sample mean
- Khan Academy: Sampling distribution of the sample mean
- Khan Academy: Sampling distribution of the sample mean 2
- Khan Academy: Inferring population mean from sample mean
- Khan academy: Difference of sample means distribution

- Applying central limit theorem to population proportions. Part 1
- Khan Academy: Sampling distribution of sample proportion part 1
- Khan Academy: Sampling distribution of sample proportion part 2

- Estimating population means (large samples)
- Using samples
- Khan Academy: Confidence interval of difference of means
- Khan Academy: Confidence interval of difference of means
- Khan Academy: Inferring population mean from sample mean
- Khan Academy: Small sample size confidence intervals

- Inference for Proportions
- ·Khan Academy: Confidence intervals for the difference between two proportions
- ·Khan Academy: Calculating a confidence interval for the difference of proportions
- ·Khan Academy: Comparing population proportions 1
- ·Khan Academy: Comparing population proportions 2

- Hypothesis Testing : Lecture 4
- Hypothesis Testing With Means : Lecture 5
- Hypothesis testing, types of error, and small samples
- Khan Academy: Hypothesis testing and p-values
- ·Khan Academy: Simple hypothesis testing
- ·Khan Academy: Hypothesis test for difference of means
- ·Khan Academy: Idea behind hypothesis testing
- Khan Academy: Significance tests (hypothesis testing)
- ·Khan Academy: Introduction to Type I and Type II errors
- ·Khan Academy: Type 1 errors | Inferential statistics
- ·Khan Academy: Examples identifying Type I and Type II errors

- Tests of Significance
- Khan Academy: P-values and significance tests
- Khan Academy: Hypothesis testing and p-values
- Khan Academy: Using a table to estimate P-value from t statistic
- Khan Academy: Calculating a P-value given a z statistic
- Khan Academy: Comparing P-values to different significance levels
- Khan Academy: Estimating a P-value from a simulation
- Khan Academy: Using a P-value to make conclusions in a test about slope
- Khan Academy: Statistical significance of experiment
- Khan Academy: Comparing P-value from t statistic to significance level

- Khan Academy: Large sample proportion hypothesis testing
- Khan Academy: Hypothesis test comparing population proportions
- Khan Academy: Hypothesis test for difference in proportions example

- One-way ANOVA. Part I
- One-way ANOVA. Part II
- One-way ANOVA. Part III
- One-Way ANOVA
- Khan Academy: ANOVA 1: Calculating SST (total sum of squares)
- ·Khan Academy: ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)
- Khan Academy: ANOVA 3: Hypothesis test with F-statistic

- Call center forecasting : linear regression models
- Inference for Regression
- Khan Academy: Regression line example
- Khan Academy: Introduction to inference about slope in linear regression
- Khan Academy: Confidence interval for the slope of a regression line
- Khan Academy: Calculating t statistic for slope of regression line
- Khan Academy: Worked example of linear regression using transformed data

- Tests of Significance
- Hypothesis Testing
- Correlation and causation : Tyler Vigen's spurious correlations
- Correlation
- An introduction to partial correlations
- Does correlation prove causation in predictive analytics?
- Correlation
- Correlation and Causation : Illustrating the Difference
- Khan Academy: P-values and significance tests
- Khan Academy: Introduction to power in significance tests
- Khan Academy: Hypothesis testing and p-values
- Khan Academy: When to use z or t statistics in significance tests
- Khan Academy: Examples thinking about power in significance tests
- Khan Academy: Conditions for a z test about a proportion
- Khan Academy: Writing hypotheses for a significance test about a mean
- Khan Academy: Constructing hypotheses for a significance test about a proportion
- Khan Academy: Free response example: Significance test for a mean
- Khan Academy: Example calculating t statistic for a test about a mean
- Khan Academy: Comparing P-values to different significance levels
- Khan Academy: Calculating a z statistic in a test about a proportion
- Khan Academy: Conditions for a t test about a mean
- Khan Academy: Introduction to Type I and Type II errors
- Khan Academy: Comparing P-value from t statistic to significance level
- Khan Academy: Examples identifying Type I and Type II errors
- Khan Academy: Calculating a P-value given a z statistic
- Khan Academy: Making conclusions in a test about a proportion
- Khan Academy: Examples of null and alternative hypotheses
- Khan Academy: Idea behind hypothesis testing | Probability and Statistics | Khan Academy
- Khan Academy: Estimating a P-value from a simulation
- Khan Academy: Using a table to estimate P-value from t statistic
- Khan Academy: Calculating correlation coefficient r
- Khan Academy: Correlation and causality
- Khan Academy: Example: Correlation coefficient intuition

- Bivariate Data and Pool Use
- Bivariate data when y depends on x
- Khan Academy: Bivariate relationship linearity, strength and direction
- Khan Academy: Constructing a scatter plot
- Khan Academy: Studying, shoe size, and test scores scatter plots
- Khan Academy: Bivariate relationship linearity, strength and direction
- Khan Academy: Calculating correlation coefficient r
- Khan Academy: Introduction to residuals and least-squares regression
- Khan Academy: Calculating residual example | Exploring bivariate numerical data
- Khan Academy: Calculating the equation of a regression line
- Khan Academy: Interpreting slope of regression line
- Khan Academy: Interpreting y-intercept in regression model
- Khan Academy: Generalizabilty of survey results example
- Khan Academy: Residual plots | Exploring bivariate numerical data
- Khan Academy: R-squared or coefficient of determination
- Khan Academy: Standard deviation of residuals or root mean square deviation (RMSD)
- Khan Academy: Interpreting computer regression data
- Khan Academy: Impact of removing outliers on regression lines

- Choosing & Usng SourcesTutorials on finding and using info.
- Article Express / Interlibrary LoanRequest articles, conference papers, and even books (check OhioLINK first) when unavailable at OSU. Request scans of print-only journal articles available at OSU.