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Introduction to Mathematical Statistics I

Mathematical Sciences Librarian

Science Education Specialist

- OSU Library CatalogSearch for books and other items available at OSU - includes ebooks
- OhioLINK CatalogSearch for books statewide.

- Electronic Book Center (OhioLINK) [Full Text] This link opens in a new windowElectronic Book Center included ebooks on all subjects, including many encyclopedias, handbooks, biographical collections, and guides.

The OSU Library Catalog has subject headings. If you had found a good book on your topic, examine the subject headings for that book below the location/call number box. You can click on these to see other items with that subject ot you can search subject directly as follows.

Examples:

"History" is a subdivision of a subject that can be added after any other term. Examples: Format: branch--history. Clickable examples:

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

Citation databases allow you to see for each article the items it cited and also the items that have cited it. If you find a great article, use these databases to move both back and forward in time from that article.

- 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.
- Web of Science Core Collection This link opens in a new windowProvides access to citation indexes which can be searched individually or as one file.
- Arts & Humanities Citation Index indexes 1,100 of the world's leading arts and humanities journals, as well as covering individually selected, relevant items from over 6,800 major science and social science journals.
- Science Citation Index Expanded indexes 5,300 major journals across 164 scientific disciplines and contains searchable, full-length, English-language author abstracts for approximately 70 percent of the articles in the database.
- The Social Sciences Citation Index indexes 1,700 journals spanning 50 disciplines, as well as covering individually selected, relevant items from over 3,300 of the world's leading scientific and technical journals.
- Book Citation Indexes- Science and Social Sciences & Humanties indexes over 30,000 editorially selected books in the sciences, social sciences and humanities, with 10,000 new books added each year. It contains searchable, full-length, English-language author abstracts for approximately 60 per cent of the articles in the database.

- Computers and Applied Sciences Complete [Selected Articles in Full Text] This link opens in a new windowComputers & Applied Sciences Complete (CASC) covers the spectrum of the applied sciences, representing knowledge on traditional engineering challenges and providing material for research concerning the business and social implications of new technology. CASC provides indexing and abstracting for more than 1,300 academic journals, professional publications, and other reference sources. Full Text is also available for more than 500 periodicals. Subject areas include the many engineering disciplines, computer theory, and new technologies. Includes Computer Source - Consumer Edition.

- JSTOR [Selected Articles in Full Text] This link opens in a new windowJSTOR offers multidisciplinary and discipline-specific collections in the humanities, sciences and social sciences. The moving wall represents the time period between the last issue available in JSTOR and the most recently published issue of a journal. It is specified by publishers in their license agreements with JSTOR, and generally ranges from 3 and 5 years. In calculating the moving wall, the current, incomplete year is not counted.
- Academic Search Complete [Selected Articles in Full Text] This link opens in a new windowAcademic Search Complete is comprehensive scholarly, multi-disciplinary full-text database, with more than 5,300 full-text periodicals, including 4,400 peer-reviewed journals. In addition to full text, this database offers indexing and abstracts for more than 9,300 journals and a total of 10,900 publications including monographs, reports, conference proceedings, etc.
- Google Scholar This link opens in a new windowConnect Google Scholar to Find It! by going to Settings > Library Links. There, search for Ohio State, choose the Ohio State option, and save.

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

What: Click to have an item delivered to OSU from an OhioLINK library.

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.

- 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

__The Joy of Stats__- Introduction to Probability
- Probability - introduction
- Introduction to probability
- Probability
- Probability
- Probability
- Conditional probability
- Probability trees
- Data Analysis and Probability
- Probability Models
- 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

- 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

- Random variables and discrete probability distributions
- Random Variables
- Probability distributions for continuous random variables
- Random variables
- Khan Academy: Random variables
- Khan Academy: Introduction to Random Variables
- Khan Academy: Constructing a probability distribution for random variable
- Khan Academy: Discrete and continuous random variables

- Sampling distributions and large samples
- Taking a Chance Key Probability Concepts
- The area under the normal distribution
- The frequency distribution
- The normal distribution
- Poisson probability distribution and the urn model
- The student t-distribution
- An introduction to the t-test
- Using a student t-distribution statistical table
__The frequency distribution____Sampling Distributions____Sampling distributions____The area under the normal distribution____Probability Models____Histograms and Distributions__

- Probability distributions for continuous random variables
- Khan Academy: Discrete and continuous random variables

- Khan Academy: Median, mean and skew from density curves
- Khan Academy: Probability density functions
- Khan Academy: More on probability density functions
- Khan Academy: Worked example finding area under density curves
- Khan Academy: Probabilities from density curves

- Khan Academy: Marginal distribution and conditional distribution
- Khan Academy: Marginal and conditional distributions

- Expected values, means, variances, and standard deviations
- Khan Academy: Mean (expected value) of a discrete random variable
- Khan Academy: Getting data from expected value
- Khan Academy: Expected Value: E(X)

- Khan Academy: Discrete uniform distribution

- Khan Academy: Mean and variance of Bernoulli distribution example
- Khan Academy: Bernoulli distribution mean and variance formulas

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

- Poisson probability distribution and the urn model
- Khan Academy: Poisson process 1
- Khan Academy: Poisson process 2

- Probability distributions for continuous random variables
- Khan Academy: Discrete uniform distribution
- Khan Academy: Continuous probability distribution intro

- Khan Academy: Identifying Exponential Models

- An introduction to the chi-square test
- Chi-square
- Chi-Square : Lecture 11
- Khan Academy: Pearson's chi square test (goodness of fit)
- Khan Academy: Chi-square goodness-of-fit example
- Khan Academy: Chi-square distribution introduction
- Khan Academy: Chi-square statistic for hypothesis testing

- 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

- Random variables and discrete probability distributions
- Random Variables
- Probability distributions for continuous random variables
- Random variables
- Checking Assumptions of Normality
- Khan Academy: Random variables
- Khan Academy: Introduction to Random Variables
- Khan Academy: Constructing a probability distribution for random variable
- Khan Academy: Discrete and continuous random variables

- Khan Academy: Impact of transforming (scaling and shifting) random variables
- Khan Academy: Transforming nonlinear data
- Khan Academy: Worked example of linear regression using transformed data
- Khan Academy: Example: Transforming a discrete random variable

- Sampling distributions
- Sampling Distributions
- Sampling distributions and large samples
- Khan Academy: Introduction to sampling distributions
- Khan Academy: Sampling distribution example problem

- Sampling Distributions
- Sampling distributions and large samples
- Khan academy: Introduction to sampling distributions
- Khan Academy: Sampling distribution of the sample mean
- Khan academy: Sampling distribution of the sample mean 2
- Khan Academy: Difference of sample means distribution

- Central limit theorem. Part 1
- Central limit theorem. Part 2
- Applying central limit theorem to population means. Part 1
- Applying central limit theorem to population means. Part 2
- Applying central limit theorem to population means. Part 3
- Applying central limit theorem to population proportions. Part 1
- Applying central limit theorem to population proportions. Part 2
- Khan Academy: Central limit theorem

- The student t-distribution
- Using a student t-distribution statistical table
- T-Tests : Lecture 7
- Independent T-Tests : Lecture 8
- Khan Academy: Introduction to t statistics
- Khan Academy: T-statistic confidence interval
- Khan Academy: Using a table to estimate P-value from t statistic

- 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.