Comparing real and expected values

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SUMMARY

The discussion centers on testing the hypothesis that participants will predominantly follow trajectory "C" when reaching for an object under three different light conditions: dim light, bright light, and no light. The participant's arm angles are expected to align with trajectory "C" across 20 trials in each condition. The conversation also touches on the definition of expected values in probability theory, emphasizing the distinction between expected values and observed values. The user seeks guidance on conducting this analysis using SPSS.

PREREQUISITES
  • Understanding of reaching trajectories and their definitions (A, B, C, D).
  • Familiarity with experimental design involving light conditions.
  • Knowledge of statistical analysis using SPSS.
  • Basic concepts of expected values in probability theory.
NEXT STEPS
  • Learn how to conduct hypothesis testing in SPSS.
  • Research methods for analyzing variance in experimental conditions.
  • Explore the use of ANOVA to compare means across multiple groups.
  • Study the interpretation of expected values in the context of statistical analysis.
USEFUL FOR

Researchers in psychology, experimental designers, and statisticians interested in analyzing the effects of environmental conditions on human behavior.

PatternSeeker
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Hi,

Just a hypothetical problem...

Lets say I test participants in three "light" conditions (dim light,
bright light, no light) to see how they reach an object. There are 20 trials
within each condition.

There are four possible reaching trajectories (A, B, C, and D). Let's define them
by a particular angle of a reaching arm to the frontal plane of a participant.

I expect that performance in any of the
three "light" conditions will follow a trajectory "C", and not any other trajectory.
That is, angles of a reaching arm should correspond to angle of trajectory "C"

What would be the most suitable test of this prediction? How could I conduct such
test in SPSS?

Thanks for your help!
 
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It isn't clear whether you intend "expected values" to have the standard definition used in probability theory. The expected value of a random variable is its mean (or "average") value. It wouldn't necessarily be the value that a person would expect to observe on every realization of the random variable.
 
Hi Stephen,

I will get back to this soon. Thank you.
 

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