Hi everyone,

Hoping someone might be able to help. I want to test a prediction that participants will progress through a trajectory of three different types of response in a matching game as a function of their vocabulary level. I've thought of a couple analyses to test this although I'm unsure of their suitability.

I am administering two tests:

1. Ten trials of a matching game where it is possible to make three types of responses: Type-A, Type-B and Type-C. For each response a participant makes, they will receive a score of 1. After the ten trials, they will receive a score of 10 distributed across the three match types. For example, a participant might have a final score of something like 4 Type-A matches, 5 Type-B matches and 1 Type-C match.

2. A standardise vocabulary assessment with a continuous variable outcome.

The prediction is that participants will progress through a trajectory of making Type-A matches, then Type-B matches, then Type-C matches as a function of their increasing vocabulary.

I know that participants with a lower vocab score will make more Type-A matches, and those with a higher vocabulary will make more Type-C matches; what I am really interested in is testing the hypothesis that they will progress through making the intermediate Type-B matches.

I’ve thought of a couple of ways to test although I’m not completely happy with them.

I could group the participants into three groups based on their predominant response type (e.g. predominantly Type-A matchers, predominantly Type-B matchers and predominantly Type-C matchers), then run a one-way ANOVA and pair-wise comparisons with

The other method I was thinking was to somehow weight the scores on the matching game so that Type-B scores were multiplied by 2 and Type-C scores were multiplied by 3. Each participant would then receive a total continuous score for the matching game that would increase as a function of increasing numbers of Type-B and Type-C responses. I could then use regression with

What do you think? Any other ideas re how I could test the hypothesis that there will be a trajectory of Type-A responses - > Type-B responses -> Type-C responses as a function of increasing vocabulary knowledge?

Would be grateful for any comments or advice!

Many thanks.

Hoping someone might be able to help. I want to test a prediction that participants will progress through a trajectory of three different types of response in a matching game as a function of their vocabulary level. I've thought of a couple analyses to test this although I'm unsure of their suitability.

I am administering two tests:

1. Ten trials of a matching game where it is possible to make three types of responses: Type-A, Type-B and Type-C. For each response a participant makes, they will receive a score of 1. After the ten trials, they will receive a score of 10 distributed across the three match types. For example, a participant might have a final score of something like 4 Type-A matches, 5 Type-B matches and 1 Type-C match.

2. A standardise vocabulary assessment with a continuous variable outcome.

The prediction is that participants will progress through a trajectory of making Type-A matches, then Type-B matches, then Type-C matches as a function of their increasing vocabulary.

I know that participants with a lower vocab score will make more Type-A matches, and those with a higher vocabulary will make more Type-C matches; what I am really interested in is testing the hypothesis that they will progress through making the intermediate Type-B matches.

I’ve thought of a couple of ways to test although I’m not completely happy with them.

*Method One:*I could group the participants into three groups based on their predominant response type (e.g. predominantly Type-A matchers, predominantly Type-B matchers and predominantly Type-C matchers), then run a one-way ANOVA and pair-wise comparisons with

*vocab score*as the dependent variable and*predominant response group*as the as the grouping variable. However, this would mean testing enough participants until there are three equal groups. I think this would work however the unknown sample size issue is not ideal it terms of the pragmatics of testing.*Method Two:*The other method I was thinking was to somehow weight the scores on the matching game so that Type-B scores were multiplied by 2 and Type-C scores were multiplied by 3. Each participant would then receive a total continuous score for the matching game that would increase as a function of increasing numbers of Type-B and Type-C responses. I could then use regression with

*total matching game score*as the DV and*vocab score*as the predictor. However, I don’t think this would be very sensitive in terms of testing the progression through the Type-B matches.What do you think? Any other ideas re how I could test the hypothesis that there will be a trajectory of Type-A responses - > Type-B responses -> Type-C responses as a function of increasing vocabulary knowledge?

Would be grateful for any comments or advice!

Many thanks.

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