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Beware Ye Who Hunt Factor Analysis Monsters

In-Class Activity

Katie Hope Grobman

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Searching for Sea Monsters

Let's sail about and try finding sea monsters.

Let's count them as we stumble upon each scene.

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How Many Sea Monsters?

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Reveal Under Murky Water

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Searching for Sea Monsters

Let's sail about and try finding sea monsters.

Let's count them as we stumble upon each scene.

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How Many Sea Monsters?

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Reveal Under Murky Water

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Searching for Sea Monsters

Let's sail about and try finding sea monsters.

Let's count them as we stumble upon each scene.

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How Many Sea Monsters?

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Reveal Under Murky Water

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Reflection

Look back at our observations, they begin with the exact same scene above the water: a tail, torso, and head?

But we concluded differently each time.

And even knew which pieces are the same monster?

How did we know?

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Correlating Sea Monsters

How could you tell the number of sea monster when you could only see parts of them? You saw visible parts move together and others move independently; you did an intuitive correlation.

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Visible and Invisible Body Parts

By looking at the correlations between all the observable and measurable parts (operational definition), we can infer something about their underlying nature (theoretical constructs)

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Factor Analysis of Sea Monsters

Factor Analysis is a statistical method that looks at how lots of different observations correlate and determines how many theoretical constructs could most simply explain what you see.

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Sample Factor Analysis

item

factor one

factor two

factor three

DM: left of 2

0.451

-0.130

0.203

DM: left of 3

0.457

-0.720

0.005

DM: right of 2

0.141

0.406

0.708

DM: right of 3

0.359

0.745

0.000

EI: Lion for Ride

0.624

0.132

0.001

EI: Duck on See-Saw

0.121

0.300

-0.795

EI: Make Spaghetti

0.501

0.000

-0.162

EI: Shake a Rattle

0.616

0.008

0.285

EI&DM: Drummer Jumps

0.704

0.014

-0.103

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Applications of Factor Analysis

Psychometrics: Nearly every valid and reliable scale and sub-scale

Intelligence: Invented by Spearman (1904) to explain IQ as one underlying quality.

Personality: The Big Five personality traits are five factors of a factor analysis (Goldberg, 1990).

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References

Gleitman, H. (1981). Psychology. W. W. Norton & Company.

Goldberg, L. R. (1990). An alternative “description of personality”: The Big Five factor structure. Journal of Personality and Social Psychology, 59(6), 1216-1229.

Grobman, K. H. (2003) How social Learning opportunities and individual differences in working memory capacity contribute to the development of domain general problem solving strategies during infancy [Dissertation, The Pennsylvania State University]

Spearman, C. (1904). “General intelligence” objectively determined and measured. American Journal of Psychology, 15(2), 201-292.

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Thank You!

Please see my website, a collection of lessons fostering self-discovery through online activities, hands-on classroom experiences, engaging lectures, and effect discussion prompts. Thank you! ~ Katie

Citation of this Lesson��Grobman, K. H. (2009). Beware Ye Who Hunt Factor Analysis Monsters. CopernicanRevolution.org (originally published DevPsy.org)