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Single Factor Designs

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<strong>Single</strong> <strong>Factor</strong> <strong>Designs</strong>


Between-Subjects Between Subjects, Two Levels<br />

• Independent Groups<br />

– random a do assg assignment, e t, many a y pa participants tcpa ts<br />

– e.g., typical experiments in social Psychology<br />

– independent groups t-test<br />

• Matched Groups<br />

– smaller number of participants<br />

– some factor strongly correlates with DV<br />

– e.g., sleep deprivation and suggestibility study<br />

– with one-to-one matching, use dependent groups t-test<br />

• Nonequivalent groups<br />

– subject variable<br />

– match the groups on other characteristics<br />

• bbut t not t necessarily il a one-to-one t matching thi<br />

– e.g., neuropsychology


Within-subjects, Two Levels<br />

• once per condition, use complete counterbalancing<br />

• twice per condition, use reverse counterbalancing<br />

– e.g., Stroop (1935)<br />

• more than twice, use block randomization<br />

– sometimes can use alternation (Lee and Aronson, 1974)


• <strong>Single</strong> <strong>Factor</strong>, Multi-level<br />

– Discover non-linear effects<br />

• Ebbinghaus percent savings<br />

• u-shaped u shaped dose curve<br />

– multiple control conditions<br />

• Mozart effect<br />

– multiple control groups<br />

• Bransford and Johnson (1972)


If the balloons popped, the sounds<br />

wouldn’t be able to carry since<br />

everything would be too far away<br />

ffrom the th correct t floor. fl A closed l d<br />

window would also prevent the<br />

sound from carrying, since most<br />

buildings tend to be well insulated insulated.<br />

Since the whole operation depends<br />

on a steady flow of electricity, a<br />

break in the middle of the wire<br />

would also cause problems. Of<br />

course, the fellow could shout, but<br />

the human voice is not loud enough<br />

to carry that far. far An additional<br />

problem is that the string could<br />

break on the instrument. Then<br />

there could be no accompaniment<br />

to the message. It is clear that the<br />

best situation would involve less<br />

distance. Then there would be<br />

fewer potential problems. With<br />

face-to-face contact, the least<br />

number of things could go wrong.


• Presenting Data<br />

– In the text<br />

– Tables<br />

• Exact values<br />

– Graphs<br />

• IV on X, DV on Y


• Types of graphs<br />

– Line graphs (continuous IV -- interpolation)<br />

• More than 2 levels<br />

– Bar graphs (discrete IV -- categorical)<br />

• or continuous with just two levels (immediate versus 24 hours)<br />

– Scatter plots (correlation)<br />

– Error bars (whenever possible!)


Multiple Pairwise comparisons<br />

• If there are more than 2 conditions, you may<br />

want to make more than one simple comparison<br />

(more than one t test)<br />

• what’s the level for 3 conditions with 3<br />

comparisons? What about J comparisons?<br />

• Wh What t about b t dependencies d d i bbetween t comparisons? i ?<br />

• Bonferroni inequality gives upper limit to observing one or<br />

more type I errors (≤J)


Control group designs<br />

– Placebo control groups<br />

– Waiting list control groups<br />

• can be combined with placebo p<br />

– Merikle and Skanes (1992)<br />

– Yoked control groups<br />

• Eye y Movement Reprocessing g and Desensitization<br />

– Dunn et al. (1996)


which test?<br />

Within Subjects Between Subjects<br />

matching<br />

2 levels 3 or more levels 2 levels 3 or more levels<br />

dependent<br />

Repeated independent<br />

independent<br />

groups<br />

measures groups<br />

groups<br />

tt-test test<br />

ANOVA tt-test test<br />

ANOVA


IVs (between, within, manipulated), DVs, design, scale (nominal,<br />

ordinal, interval, ratio), presentation (table, graph), analysis<br />

• College students in a cognitive mapping study are asked to use a<br />

direction finder to point accurately to three unseen locations that<br />

differ in distance form the laboratory laboratory. One is a nearby campus<br />

location, one is a nearby city, and the third is a distant city.<br />

• Three groups of preschoolers (50 per group, assigned randomly) are<br />

iin a study t d of f ttask k perseverance in i which hi h ddelay l of f reward d is i varied. i d<br />

The children in all three groups are given a difficult puzzle and told<br />

to work on it as along as they would like. One groups is told that<br />

they will receive a chocolate bar at the end of the session if they<br />

complete l t the th puzzle. l Th The second d group will ill get t a chocolate h l t bbar after ft<br />

20 minutes from the end of the session, and the third will get the<br />

chocolate after 40 minutes.<br />

• To examine whether crowding affects problem-solving performance,<br />

participants are placed in either a large or a small room while<br />

attempting to solve a set of word puzzles. Before assigning<br />

participants to the two conditions conditions, the researcher takes a measure of<br />

their verbal intelligence to ensure that the average verbal IQ of the<br />

groups is equivalent.

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