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SOR1212 - Introduction to Applied Statistics and Data Analysis 1

SOR1212 - Introduction to Applied Statistics and Data Analysis 1

MQF Level

5

Duration and Credits

Semester 1

4 ECTS

Mode of Study

Part-Time Evening

This is an introductory study-unit in statistics designed to provide students with a theoretical background in statistical techniques and data analysis with emphasis on application. Students will learn to differentiate between different types of data and how it is collected, the different ways in which these can be represented graphically, how to summarize and analyze a presented data set, as well as the basics of probability and probability distributions. Practical examples from different fields will be used to illustrate the techniques discussed. A more detailed list of topics is presented below.

Introduction to Statistics

  • Definition and importance of statistics
  • Types of data: qualitative vs. quantitative
  • Types of measurement: eg. nominal, ordinal, interval

Data Collection and Sampling Methods

  • Population vs. sample
  • Sampling techniques: random, stratified, cluster, systematic, convenience
  • Designing surveys and experiments
  • Sources of bias in data collection

Descriptive Statistics

  • Measures of central tendency: mean, median, mode
  • Measures of variability: range, variance, standard deviation
  • Introduction to frequency distributions
  • Graphical representations: histograms, bar charts, pie charts, box plots, stem and leaf, cumulative frequency curves

Probability Basics

  • Definition and rules of probability
  • Addition and multiplication rules
  • Conditional probability and independence
  • Probability distributions: discrete and continuous

Discrete Probability Distributions

  • Binomial distribution
  • Poisson distribution

Continuous Probability Distributions

  • Normal distribution
  • Standard normal distribution (z-scores)
  • Central Limit Theorem.

Method of Assessment

Assessment Component/s

Weighting

Classwork
20%
Assignment
80%

Main Reading List

  • McClave, J.T. and Sincich, T., 2018. A First Course in Statistics. 12th ed. Boston: Pearson. ISBN 13: 978-1-292-16541-7.
  • Triola, M.F., 2021. Elementary Statistics. 14th ed. Hoboken, NJ: Pearson. ISBN-13: 978-0-137-36644-6
  • Sullivan, M., 2020. Statistics: Informed Decisions Using Data. 6th ed. Boston: Pearson. ISBN-13: 978-0-136-87274-0.

Supplementary Reading List

  • Agresti, A. and Franklin, C.A., 2017. Statistics: The Art and Science of Learning from Data. 4th ed. Boston: Pearson. ISBN-13: 978-0-133-86082-5.

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Information for International applicants

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Study-unit Aims

This study-unit introduces students to methods for gathering, organising, summarising and analysing quantitative data using Excel software. It also delves into fundamental statistical principles, including, measures of central tendency, variability and probability distributions, which will help the student to foster the ability to critically analyse data, recognise patterns, and interpret results, enabling more informed decision-making.


Learning Outcomes: Knowledge and Understanding

By the end of the study-unit the student will be able to:

  • Define and explain the significance of key statistical terms and concepts.
  • Distinguish between different types of data and levels of measurement.
  • Design surveys and experiments using appropriate sampling methods.
  • Recognise and mitigate sources of bias in data collection.
  • Calculate and interpret measures of central tendency (mean, median, mode) and variability (range, variance, standard deviation).
  • Create and interpret graphical representations of data, including histograms, bar charts, pie charts, and box plots.
  • Use basic probability rules to solve problems involving random events.
  • Identify and apply appropriate probability distributions for different types of data.

Learning Outcomes: Skills

By the end of the study-unit the student will be able to:

  • Perform basic statistical analysis using spreadsheets.
  • Create and interpret various types of graphs and charts, such as histograms, bar charts, pie charts, and scatter plots, to effectively communicate data insights.
  • Apply key probability concepts and distributions.
  • Interpret and critically evaluate statistical results in the context of real-world scenarios.
  • Assess the validity and reliability of conclusions drawn from statistical analyses.

Non EU Applicants:

EUR260

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