M. Ed. in Educational Psychology

 

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Quantitative Methods and Statistics 

Title:

Quantitative Methods and Statistics

Credit Rating:

20

Level:

MD644

Delivery:

Semester 1 http://

Tutor/s:

Neil Humphrey and Filiz Polat

 Aims:

This module has been designed as a core module for the M Ed in Educational Psychology it aims to: 

·         To familiarise students with quantitative research methods commonly used in education and psychology

·         To introduce students to quantitative methods of data collection

·         To introduce students to quantitative methods of data analysis

·         To introduce students to the SPSS computer package

 Learning Outcomes:

 On completion of this unit successful students will be able to:

·         Plan, execute and evaluate a small-scale project using quantitative methodology

·         Demonstrate a comprehensive understanding of techniques applicable to their own and other’s research and advanced scholarship 

Transferable skills

The following transferable skills will be addressed:

Time management
Use ICT
Undertake independent learning and reflect upon achievements
Present information, ideas and arguments
Demonstrate powers of analysis

 Content:

Independent and dependent variables: their identification and selection

Experimental manipulation, control and internal validity: the roles of random allocation, matching, and counterbalancing in independent groups, related samples and repeated measures designs.

The experimental manipulation of more than one independent variable in factorial designs: the contribution of interaction effects.

Descriptive and summary statistics: measures of central tendency and dispersion; skew and kurtosis; frequency distributions; graphical methods including frequency histograms and cumulative frequency plots; exploratory data analysis including stem and leaf and box and whisker displays.

Probability theory: rules for assigning and combining probabilities; the OR rule with mutually exclusive and non-mutually exclusive events; the AND rule with independent and non-independent events; the binomial distribution (and its normal approximation)

The normal distribution: z scores and areas under the curve; the sampling distribution of the sample mean.

Statistical inference: significance testing (including the null and alternative hypothesis, type 1 and type 2 errors, significance level, power and sample size; effect size and confidence intervals.

Z tests and t tests of means for single sample, independent samples and related sample designs.

Confidence intervals: for population means; for the difference between two population means.

Mean and error bar graphs

Non parametric alternatives to t tests: the sign test; Wilcoxon matched pairs signed ranks test; Mann Whitney test.

Tests of proportions: chi square tests for goodness of fit and for contingency tables.

Cramers phi as a measure as a measure of association in contingency tables.

McNemar’s test of change.

Bivariate correlation and linear regression: scatter plots; Pearson’s correlation coefficient; partial correlation; the significance of a correlation coefficient; the linear regression equation and its use in prediction; the accuracy of prediction; Spearman’s and Kendall’s rank order correlation coefficient.

The analysis of variance: one factor independent and repeated measures designs; two factor independent, repeated measures and mixed designs; main effects and interaction effects (including graphical presentation); planned (including trend) comparisons; the Bonferroni correction: post hoc comparisons (including the choice between method); the analysis of simple effects.

Non parametric alternatives to one factor analysis of variance; Kruksall-Wallis, Friedman and Cochroan’s Q tests

The choice of an appropriate statistical analysis: the issue of level of measurement (nominal, ordinal, interval and ratio scales); test assumptions (e.g. normality, homogeneity of variance, linearity); transformations of the dependent variable in an attempt to meet assumptions; robustness; power efficiency.

 Teaching and Learning

This class will be taught in the computer laboratory. It is a mixture of practical experiments, computer simulations, and experiential learning

 Learning hours: 

Activity

Hours allocated

Eg Staff/student contact

30

Private study

100

Directed reading

60

Tutorials

10

Total hours

200

 Assessment 

Assessment activity

Length required

Weighting within unit

A mini project using quantitative methods of data collection and analysis

4000

100%

 Recommended Reading:

Dancey, C. P. & Reidy, J. (2002) Statistics Without Maths for Psychology, Harlow, Pearson, 0 13 033633 5. 

Field, A (2000) Discovering Statistics: Using SPSS for Windows London: Sage Publications ISBN 0 7619 5755 3

 Kinnear, PR & Gray, CD (2001) SPSS version 10 for Windows Made Simple. London: Lawrence Erlbaum Associates ISBN 1 84169 118 6

 One of these statistics books must be brought to each class. You are advised to familiarise yourselves with at least the first three chapters in the book and to try out the exercises on the PCs before the beginning of the first lesson. If you are not up to speed with a key board, it will be in your best interest to put in some practice before the start of the module.

SPSS version 10 is available in both computer labs

 

 

Send mail to neil.humphrey@man.ac.uk with questions or comments about this programme.
Last modified: September 4, 2003