Commentary: Analyzing Strategic Processing: Pros and Cons of Different Methods
The authors in this section reviewed variable-centered (e.g., regression), personcentered (e.g., cluster analysis), and qualitative approaches to analyzing a variety of types of data collected on learning strategies. The authors discussed data collected from questionnaires, think-aloud protocols, eye tracking, and computer log files. Research on strategy use has also considered student discourse in dyads (e.g., Miller, Cromley, & Newcombe, 2015) and coding of gestures as indicative of strategy use (e.g., Alibali & Goldin-Meadow, 1993). The authors clearly laid out the different types of research questions that different analyses are suited for and various assumptions about the data that are required for the analyses. For most analyses, when data meet the assumptions of the test (e.g., normal distribution) the parametric tests are used, and when data fail one or more assumptions, nonparametric tests are used. Although mathematical transformations or bootstrapping are other options, they are not commonly used in education research, so I do not discuss them here.
In this chapter, I lay out some different data analysis options for the researcher working with strategy data. I lay out the options, in each case taking into account a number of considerations: (1) Do the data meet the assumptions for a candidate data analytic approach (e.g., normality, linearity)? (2) Are sample sizes large enough for the candidate data analytic approach? (3) Is data reduction needed (e.g., combining fine-grained codes from think-alouds, creating factor scores)?, and (4) Do large sample sizes need to be planned for in advance (e.g., full structural equation modeling)? Taking these considerations into account allows the analyst to maximize statistical power, while preserving the validity (i.e., trustworthiness) of the results from each analysis.
Variable-centered analyses
Chi Squared Test
In addition to a long tradition of t test and ANOVA analyses to compare strategy treatment groups to control groups, some early work in strategy use during learning used chi squared tests to look for disproportionate use of certain strategies in think-aloud studies between novice/expert (e.g., Ennis & Safrit, 1991) or tutored/untutored participants (e.g., Azevedo & Cromley, 2004). One advantage of the chi squared test is that it takes account of different learners being more or less talkative—some people are simply more chatty than others (see Table 24.1). It is important to take account of these differences, because analyses of raw counts of many types of data will not show the differences that researchers are trying to test; they will simply show effects of talkativeness, and talkativeness is rarely related to learning. One disadvantage of the chi squared test is that, as a non-parametric test, it has low statistical power to detect an association, if an association between variables is indeed present. Another disadvantage is that while a chi squared test may seem to show associations between codes, it merely shows co-occurrence across an entire transcript (or log file, etc.).
Table 24.1 Summary of Uses for, Pros of, and Cons of the Statistics Reviewed in this Chapter
|
Statistic |
Used for |
Pros |
Cons |
|
chi squared |
Associations between 2 categorical variables |
EasyAccounts for base rate differences without any extra calculations Few assumptions |
Low power Just an association |
|
ttest |
Comparing means of 2 groups on a continuous outcome |
Easy |
Must meet 4 assumptions No ‘covariate’ |
|
ANOVA |
Comparing means of 2+ groups on a continuous outcome |
Easy |
Must meet 4 assumptions No ‘covariate’ |
|
correlation |
Associations between 2 continuous variables |
Easy |
Must meet 4 assumptions Just an association |
|
regression |
Effect of one or more independent variables, simultaneously, on a single, continuous dependent variable |
EasyEffect of each independent variable takes account of all other independent variables Can test moderation |
Must meet 4 assumptions |
|
path analysis |
Effect of one or more independent variables, simultaneously, on continuous dependent variable(s) |
Can test mediation Account for measurement error in ‘DVs’ Multiple DV s simultaneously |
Specialized software, steep learning curve Must meet 4 assumptions |
|
structural equation modeling |
Effect of one or more independent factors, simultaneously, on continuous dependent factor(s) |
‘Pure’ factors, account for measurement error Can test mediation multiple DV s simultaneously |
Specialized software, steep learning curve Multiple variables per construct Must meet 4 assumptions |
|
Statistic |
Used for |
Pros |
Cons |
|
GCM |
Shape and rate of change over time on a variable Predictor(s) of intercept and slope(s), outcome(s) of intercept and slope(s) |
Power Flexible shape(s) of growth Growth on growth (i.e., multiple DVs simultaneously) |
Specialized software, steep learning curve Multiple variables per construct Must meet 4 assumptions Multiple time points High reliability needed measurement invariance over time needed |
|
transition analysis |
Sequence of strategy moves during learning |
Analyzes the actual sequence |
Low power |
|
LCA |
Subgroups of participants Predictor(s) of subgroup membership, outcome(s) of subgroup membership |
‘Pure’ factors, account for measurement error Can combat stereotyping |
Specialized software, steep learning curve No unique solution Multiple choice points |
|
GMM |
Subgroups of trajectories Predictor(s) of intercept and slope(s), outcome(s) of intercept and slope(s) |
Can combat stereotyping Multiple routes to similar outcomes |
See GCM plus No unique solution Multiple choice points |
|
LTA |
Predictors of transitions between levels of a categorical outcome |
‘Pure’ factors, account for measurement error Can combat stereotyping |
See GCM plus No unique solution Multiple choice points |
|
Quai TA |
Sequences during actual learning |
Illuminate how a process works |
Good data collection practice is especially important Coding approach needs to be somewhat flexible Coding is effort intensive |