References – Statistics

Statistics

Introduction:

https://www.britannica.com/science/probability

Importance:

Statistics in daily life

Real Life Situation:

8 Real Life Examples Of Probability

Subtopics Importance:

Random Variable (discrete and continuous).

https://www.investopedia.com/terms/r/random-variable.asp

http://www.stat.yale.edu/Courses/1997-98/101/ranvar.htm

https://revisionmaths.com/advanced-level-maths-revision/statistics/continuous-random-variables

Values of a random variable.

Click to access RandomVariables.pdf

Probability Distribution For A Discrete Random Variable And Its Properties.

https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Introductory_Statistics_(Shafer_and_Zhang)/04%3A_Discrete_Random_Variables/4.02%3A_Probability_Distributions_for_Discrete_Random_Variables

Click to access RV_Prob_Distributions.pdf

Probabilities Corresponding To A Given Random Variable.

https://www.britannica.com/science/statistics/Random-variables-and-probability-distributions

The Mean and Variance of a Discrete Random Variable.

https://amsi.org.au/ESA_Senior_Years/SeniorTopic4/4c/4c_2content_6.html

Normal Random Variable

https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Introductory_Statistics_(Shafer_and_Zhang)/05%3A_Continuous_Random_Variables/5.02%3A_The_Standard_Normal_Distribution

Conversion of a normal random variable to a standard normal variable and vice versa.

https://online.stat.psu.edu/stat500/lesson/3/3.3/3.3.3

Probabilities and percentiles using the standard normal table

https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_probability/bs704_probability10.html

Parameter and Statistics

https://study.com/academy/lesson/defining-the-difference-between-parameters-and-statistics.html

Sampling distributions of statistics

https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/what-is-sampling-distribution/v/introduction-to-sampling-distributions

The mean and variance of the sampling distribution of the sample mean.

https://onlinestatbook.com/2/sampling_distributions/samp_dist_mean.html

Central Limit Theorem

https://www.statisticshowto.com/probability-and-statistics/normal-distributions/central-limit-theorem-definition-examples/

https://www.investopedia.com/terms/c/central_limit_theorem.asp

Sampling Distribution of the Sample Mean Using the Central Limit Theorem

https://www.investopedia.com/terms/c/central_limit_theorem.asp#:~:text=In%20probability%2theory%2C%20the%20central,the%20population’s%20actual%20distribution%20shape.

T distribution

https://www.jmp.com/en_ph/statistics-knowledge-portal/t-test/t-distribution.html

Length of a Confidence Interval

https://online.stat.psu.edu/stat415/book/export/html/804

a) null hypothesis; (b) alternative hypothesis; (c) level of significance; (d) rejection region; and (e) types of errors in hypothesis testing

https://byjus.com/maths/hypothesis-definition/

Known Variance

https://online.stat.psu.edu/stat415/lesson/10/10.1

Unknown Variance

https://online.stat.psu.edu/stat415/lesson/10/10.2

Using the Central Limit Theorem

Using the Central Limit Theorem

Hypothesis Test for a Population Proportion

Click to access SectionVNoteswithAnswers_000.pdf

Hypothesis Testing for Population Mean with Known and Unknown Population Standard Deviation

https://courses.lumenlearning.com/wmopen-concepts-statistics/chapter/hypothesis-test-for-a-population-proportion-3-of-3/

Rejection Value and Rejection Region

https://www.sciencedirect.com/topics/mathematics/rejection-region

T-Test

https://www.investopedia.com/terms/t/t-test.asp

Z-Test

https://www.investopedia.com/terms/z/z-test.asp

Bivariate Statistics

https://methods.sagepub.com/reference/the-sage-encyclopedia-of-communication-research-methods/i2187.xml

Bivariate Data: Examples, Definition and Analysis

Correlation Coefficient

Pearson correlation coefficient: Definition, formula & calculation, and examples