{"id":1235,"date":"2021-08-14T16:45:06","date_gmt":"2021-08-14T15:45:06","guid":{"rendered":"http:\/\/salfordphysics.com\/?page_id=1235"},"modified":"2021-08-19T17:55:57","modified_gmt":"2021-08-19T16:55:57","slug":"module-introduction-to-probability-statistics","status":"publish","type":"page","link":"https:\/\/salfordphysics.com\/index.php\/module-introduction-to-probability-statistics\/","title":{"rendered":"Module – Introduction to Probability & Statistics"},"content":{"rendered":"

FHEQ Level:<\/strong> Level 3 (Foundation Year)
\nCredits:<\/strong> 20
\nModule Code:<\/strong> G300 00001
\nCourse Reference Number (CRN):<\/strong> 52785
\nDelivery:<\/strong> September Start, Trimesters 1&2 (Long Thin)<\/p>\n

Syllabus Outline<\/h4>\n

\u2022 Basic statistics: mean, median, mode, standard deviation and variance, quartiles
\n\u2022 How to load data and compute basic statistics from those data using \u201cR programming language\u201d
\n\u2022 Statistical graphs and their interpretation: bar plots, stem-and-leaf diagrams
\n\u2022 Compute confidence interval: understand confidence intervals and z-scores table
\n\u2022 Properties of probabilities plus probability mass\/density function, probability cumulative function
\n\u2022 Understand the concept of sample space, law of total probabilities, Bayes\u2019 theorem and their applications
\n\u2022 Draw the graph of a given probability distribution
\n\u2022 Application of combinatorics to probabilities (how to compute the number of possible combinations of objects)
\n\u2022 Expectation and variance of random variables
\n\u2022 Properties of variance and different ways to compute variance
\n\u2022 Relationship between variance of a random variable and its mean
\n\u2022 Hypothesis testing (z-score test, t-test)
\n\u2022 Apply statistical tests to problems involving the comparison of two populations
\n\u2022 Basic understanding of central limit theorem
\n\u2022 Nonparametric statistics (Wilcoxon rank-sum test)<\/p>\n

Assessment<\/h4>\n

Coursework: Core skills 1, 50%
\nCoursework: Core skills 2, 50%
\nMore detailed information may be found in the Assessments<\/a> section.<\/p>\n

Texts<\/h4>\n

Introduction to statistics. By Ronald E Walpole. New York: Macmillan; London.<\/p>\n

Probability & Statistics for Engineers & Scientists. By Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye. Pearson; 9th edition.<\/p>\n

Multivariate Data Analysis. By Joseph F. Hair Jr, William C. Black, Barry J. Babin, Rolph E. Anderson. Pearson; 7th edition.<\/p>\n

Probability and Statistics for Engineers and Scientists. By Anthony J. Hayter. Duxbury Press; 4th edition.<\/p>\n

Applied Statistics and Probability for Engineers. By Douglas C. Montgomery and George C. Runger. John Wiley & Sons; 6th edition.<\/p>\n

Further updates and supplementary texts may be found in the University Reading Lists<\/a> system.<\/p>\n

Description<\/h4>\n

\u200bThis module concentrates on the introduction of statistics and probability skills required in mathematics, science and engineering. You will develop knowledge and the ability to develop the methodologies and modelling for real problems and learn the use of appropriate software packages. The relationship between the various aspects of this module and their role to mathematicians, scientists and engineers in the workplace will be highlighted.<\/p>\n

Aims<\/h4>\n

1. To provide a level of knowledge, understanding and competence in basic mathematics to allow progression onto a technical or scientific degree.
\n2. To develop analytical and numerical problem-solving skills in basic mathematics.
\n3. To gain knowledge of specific software packages used to statistically analyse data.<\/p>\n

Knowledge & Understanding<\/h4>\n

On successful completion of this module, you will be able to:<\/p>\n

1. Understand and correctly interpret data and scientific and statistical graphs.
\n2. Distinguish between and apply different hypothesis testing models.
\n3. Provide a description of the statistical method used for data analysis, including a discussion of advantages, disadvantages, and necessary assumptions.
\n4. Communicate mathematical and statistical information effectively.
\n5. Be able to apply specialised software packages to statistically analyse data.<\/p>\n

Learning, Teaching and Assessment<\/h4>\n

The module comprises of:<\/p>\n

46 hours of lectures which are a blend of teacher-centred delivery of important concepts, flipped-classroom and learner-centred delivery for application of concepts in problem solving.<\/p>\n

23 hours of problem-solving tutorial classes in which students embark on assisted problem-solving exercises.<\/p>\n

A portfolio of formative tests in combination with set exercises will lead to final a final piece of summative coursework at the end of each trimester.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

FHEQ Level: Level 3 (Foundation Year) Credits: 20 Module Code: G300 00001 Course Reference Number (CRN): 52785 Delivery: September Start, Trimesters 1&2 (Long Thin) Syllabus Outline \u2022 Basic statistics: mean, median, mode, standard deviation and variance, quartiles \u2022 How to load data and compute basic statistics from those data using \u201cR programming language\u201d \u2022 Statistical … Continue reading Module – Introduction to Probability & Statistics<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1235","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1235","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/comments?post=1235"}],"version-history":[{"count":6,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1235\/revisions"}],"predecessor-version":[{"id":1357,"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/pages\/1235\/revisions\/1357"}],"wp:attachment":[{"href":"https:\/\/salfordphysics.com\/index.php\/wp-json\/wp\/v2\/media?parent=1235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}