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Reaction time (milliseconds) to three types of stimuli (auditory, tactile, and v

ID: 3340067 • Letter: R

Question

Reaction time (milliseconds) to three types of stimuli (auditory, tactile, and visual) was measured in a small study with 5 age groups and 3 subjects within each group. The age groups (blocks), stimulus types (treatments), and corresponding reaction times in () are:

20-29

Tactile (615)

Auditory (490)

Tactile (600)

30-39

Auditory (465)

Visual (375)

Auditory (520)

40-49

Tactile (685)

Tactile (605)

Visual (500)

50-59

Visual (520)

Tactile (760)

Auditory (605)

60-69

Auditory (690)

Visual (510)

Visual (545)

Find the values of the three stimulus type sample means and the Least Square estimated marginal means of the three stimulus types. .

20-29

Tactile (615)

Auditory (490)

Tactile (600)

30-39

Auditory (465)

Visual (375)

Auditory (520)

40-49

Tactile (685)

Tactile (605)

Visual (500)

50-59

Visual (520)

Tactile (760)

Auditory (605)

60-69

Auditory (690)

Visual (510)

Visual (545)

Explanation / Answer

We have the following data:

There the sample mean is the simple average:

For Least Square estimated marginal means, first calculate mean for individual cell and then take average of the column:

Auditory Tactile Visual 20-29 490 615, 600 . 30-39 465, 520 . 375 40-49 . 685, 605 500 50-59 605 760 520 60-69 690 545 510
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