Module Code: H6STATS2
Long Title Statistics II
Title Statistics II
Module Level: LEVEL 6
EQF Level: 5
EHEA Level: Short Cycle
Credits: 10
Module Coordinator: TONY DELANEY
Module Author: TONY DELANEY
Departments: School of Computing
Specifications of the qualifications and experience required of staff


This module requires a lecturer holding a Master’s degree or higher, in a discipline with a significant statistics component. e.g Statistics, Mathematics, Economics.

Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Apply appropriate statistical inference techniques to the analysis of data across a variety of domains.
LO2 Source data ethically and communicate statistical results in a comprehensive and professional manner.
LO3 Compare and contrast alternative models to assist with forecasting.
LO4 Identify patterns in data and implement dimension reduction techniques.
LO5 Assess issues of effect size and statistical power.
Dependencies
Module Recommendations

This is prior learning (or a practical skill) that is required before enrolment on this module. While the prior learning is expressed as named NCI module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).

No recommendations listed
Co-requisite Modules
No Co-requisite modules listed
Entry requirements

Learners should have attained the knowledge, skills and competence gained from stage 1 of the BSc (Hons) in Data Science

 

Module Content & Assessment

Indicative Content
Review of Basic Statistical Concepts
Fundamentals of Probability . Sampling . Estimation & confidence intervals. Hypothesis testing & t-tests . ANOVA . Non-parametric tests. Correlation & basic regression.
Ethics in sourcing and analysis of data
Data Sources. Ethics in data sourcing. Maintenance of data security
Topics in Regression Analysis I
Principles of regression model building. Non-linearity of data. Transformations. Correlation of error terms
Topics in Regression Analysis II
Heteroscedasticity in regression models. Diagnostics for leverage and influence. Multicollinearity
Logistic Regression & Linear Discriminant Analysis I
Principles behind the binary logistic regression model. Odds & odds ratios. Estimating logistic regression coefficients. Wald statistic – contribution of predictors. Prediction using logistic regression
Logistic Regression & Linear Discriminant Analysis II
Multinomial logistic regression. Linear discriminant analysis
PCA/Factor Analysis
Applications of PCA & exploratory factor analysis. Suitability of data for PCA / factor analysis. Interpretation of principal components. Factor rotation. Clustering methods
Multivariate Analysis of Variance (MANOVA)
ANOVA vs MANOVA. Applications of MANOVA . SSCP matrices. MANOVA test statistics . Interpretation of MANOVA software output
Multilevel Linear Models I
Hierarchical data. Theory of multilevel linear models
Multilevel Linear Models II
Building a multilevel model. Assessing the fit of multilevel linear models
Effect Size & Statistical Power
Effect size in research. Effect size metrics. Statistical power and sample size. Statistical Power analysis
Critical appraisal of null hypothesis significance testing
Appropriate use of NHST in research. Reporting test results. Examples of misuse of NHST
Assessment Breakdown%
Coursework50.00%
End of Module Assessment50.00%

Assessments

Full Time

Coursework
Assessment Type: Continuous Assessment % of total: Non-Marked
Assessment Date: n/a Outcome addressed: 1,2,3,4,5
Non-Marked: Yes
Assessment Description:
Formative assessment will be undertaken utilising exercises and short answer questions during certain tutorials. In class discussions will be undertaken on contemporary topics. Feedback will be provided individually or as a group in oral format.
Assessment Type: Continuous Assessment % of total: 50
Assessment Date: n/a Outcome addressed: 1,2
Non-Marked: No
Assessment Description:
Learners will be asked to estimate models using elements of multiple regression, logistic regression and/or multilevel linear model techniques. The project will focus on practical application of models. Project data must be sourced ethically and an application for ethical approval made where necessary in accordance with school policy
Assessment Type: Easter Examination % of total: 50
Assessment Date: n/a Outcome addressed: 1,2,3,4,5
Non-Marked: No
Assessment Description:
The examination will be in the region of two hours in duration and may include a mix of: theoretical, applied and interpretation questions. Assessment of LO1 and LO2 will cover theory and conceptual understanding.
No End of Module Assessment
No Workplace Assessment
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description
By examination.

NCIRL reserves the right to alter the nature and timings of assessment

 

Module Workload

Module Target Workload Hours 0 Hours
Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Classroom & Demonstrations (hours) 24 Per Semester 2.00
Tutorial Other hours (Practical/Tutorial) 24 Per Semester 2.00
Independent Learning Independent learning (hours) 202 Per Semester 16.83
Total Weekly Contact Hours 4.00
 

Module Resources

Recommended Book Resources
  • Field, A.. (2018), Discovering Statistics using SPSS Statistics (5th ed), SAGE Publications, London.
  • Heumann, C. & Schomaker Shalabh, M.. (2016), Introduction to Statistics and Data Analysis with Exercises, Solutions and Applications in R, Springer, Switzerland.
  • Moore, D., McCabe, G., & Craig, B.. (2014), Introduction to the Practice of Statistics, 8e, WH Freeman & Co, New York.
  • Pallant, J.. (2016), SPSS Survival Manual (6 ed), McGraw Hill, United Kingdom.
Supplementary Book Resources
  • Cortinhas, C. & Black, K.. (2012), Statistics for Business & Economics, Wiley, United Kingdom.
  • Foster, J., Barkus, E. & Yavorsky, C.. (2006), Understanding and Using Advanced Statistics, SAGE Publications, London.
  • James, G., Witten, D. Hastie, T. & Tibshirani, R.. (2013), An Introduction to Statistical Learning with applications in R, Springer, New York.
This module does not have any article/paper resources
This module does not have any other resources
Discussion Note: