Module Details
Module Code: |
ZQUA C2102 |
Module Title:
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Quantitative Methods and Quality Control 2
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Title:
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Quantitative Methods and Quality Control 2
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Module Level:: |
6 |
Module Coordinator: |
Paula Rankin
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Module Author:: |
Rachael Carroll
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Module Description: |
This module will develop the learner's ability to analyse and understand data through the use of inferential statistics and to develop the students' understanding of the quality control techniques used in industry.
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Learning Outcomes |
On successful completion of this module the learner will be able to: |
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Learning Outcome Description |
LO1 |
Apply inferential statistics to conduct a variety of hypothesis tests on population parameters and explore the relationship between variables. |
LO2 |
Formulate, solve and interpret scientific problems using differential and integral calculus. |
LO3 |
Use and interpret statistical process control techniques. |
Dependencies |
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
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No recommendations listed |
Co-requisite Modules
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No Co-requisite modules listed |
Additional Requisite Information
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No Co Requisites listed
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Indicative Content |
Introduction to Hypothesis Testing
Introduction to inferential statistics. The Elements of a Test of Hypothesis. Formulating the null and alternative hypotheses. Setting Up the Rejection Region.
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One sample problems for the population mean
Identifying and Estimating the Target Parameter. Confidence Interval for a Population Mean. Students t distribution. Test of Hypothesis about a Population Mean.
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Measures and Tests of Association
Scatter diagrams. Pearson and Spearman correlation coefficients, correlation and causation. Independent and dependent variables. Simple Linear regression. The regression equation and prediction, the method of least squares.
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Tests of association
Categorical Data and the Multinomial Experiment. Chi-squared test of association. Testing Categorical Probabilities: One-Way Table. Testing Categorical Probabilities: Two-Way (Contingency) Table
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Tests for the population variance
Test of Hypothesis about a Population Variance. F test for equality of variances
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Calculus
Review of basic calculus. Solve scientific problems using differential and integral calculus. Model scientific situations using elementary differential equations.
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Sampling
Acceptance Sampling, Operating Characteristic (OC) curve. Acceptable Quality Level (AQL), Lot Tolerance Percent Defective (LTPD or RQL), producer’s risk and consumer’s risk. Average Outgoing Quality (AOQ) and Average Outgoing Quality Limit (AOQL).
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Control Charts
Principles of Statistical Process Control (SPC). Control Charts for Variables: average and range charts, pre-control chart, cumulative sum control chart (CUSUM) and multi-vari charts. Control charts for Attributes: np, p, u and c charts. Interpretation and design of charts. Process Capability Analysis.
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Reliability
Reliability calculations, failure rate, mean time to failure (MTTF), life-tests, design for reliability.
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Module Content & Assessment
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Assessment Breakdown | % |
Continuous Assessment | 70.00% |
Practical | 30.00% |
AssessmentsFull Time
No End of Module Formal Examination |
Reassessment Requirement |
Exam Board
It is at the discretion of the Examination Board as to what the qualifying criteria are.
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SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time |
Workload Type |
Workload Category |
Contact Type |
Workload Description |
Frequency |
Average Weekly Learner Workload |
Hours |
Lecture |
|
Contact |
Qualtitative Methods and Quality Control |
12 Weeks per Stage |
4.00 |
48 |
Practicals |
|
Contact |
Computer Practical |
12 Weeks per Stage |
1.00 |
12 |
Estimated Learner Hours |
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Non Contact |
Independent Learning |
15 Weeks per Stage |
4.33 |
65 |
Total Weekly Contact Hours |
5.00 |
Module Resources
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Recommended Book Resources |
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Douglas C. Montgomery. (2019), Introduction to Statistical Quality Control, 8. Wiley, [ISBN: 9781119657118].
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Eric Connally,Deborah Hughes-Hallett,Andrew M. Gleason. (2019), Functions Modeling Change, 6. John Wiley & Sons, p.544, [ISBN: 9781119498315].
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Deborah Hughes-Hallett,Andrew M. Gleason,Patti Frazer Lock,Daniel E. Flath. (2018), Applied Calculus, 6. Wiley, [ISBN: 9781119399353].
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Brigitte Baldi,David S. Moore. (2018), Practice of Statistics in the Life Sciences, 4. WH Freeman, p.340, [ISBN: 9781319187606].
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Allyn J. Washington,Richard Evans. (2017), Basic Technical Mathematics with Calculus, 11. Pearson, p.1192, [ISBN: 9780134463131].
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Dennis G. Zill,Aly El-Iraki. (2017), A First Course in Differential Equations with Modeling Applications, 11. Cengage Learning & Inc, [ISBN: 9781337556644].
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James T. McClave,Terry T Sincich. (2017), Statistics, Global Edition, Pearson Higher Ed, p.896, [ISBN: 9781292161563].
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Barrie G. Dale. (2016), Managing Quality, 6. John Wiley & Sons, p.352, [ISBN: 9781119130925].
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John Murdoch,John Anthony Barnes. (1998), Statistical Tables for Students of Science, Engineering, Psychology, Business, Management, Finance, Palgrave Macmillan Limited, p.79, [ISBN: 0333558596].
| This module does not have any article/paper resources |
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Other Resources |
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StatsTutor,
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Desmos,
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Mathcentre,
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American Society for Quality,
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