Researchers investigated factors that influenced how much people like each other based on first meeting. They were particularly interested in the effects of eye-to-eye contact and smiling. They collected data from 20 participants. Each participant was asked to wait in a small room while the experimenter went next door, ostensibly to gather the materials needed for the study. While the participant was waiting, a confederate of the experimenter entered the room and sat in a chair facing the participant, and asked "Are you waiting for the experiment?". Immediately after asking the question, the confederate smiled at, and/or looked directly into the eyes of, the participant. This was done in four conditions: for five participants the confederate smiled and looked into the participant's eye, for five participants the confederate smiled but did not look into the participant's eye, for five participants the confederate did not smile but did look into the participant's eyes, and for five participants the confederate neither smiled nor looked into the participant's eyes. Each participant later rated how friendly they thought the confederate had been. They used a 10-point scale where 0 = not at all friendly, and 10 = extremely friendly. The ratings obtained from the five participants in each condition are shown in this table. smile eye contact 7, 5, 7, 3, 5 no eye contact 2, 3, 4, 3, 4 no smile 6, 5, 5, 6, 4 4, 6, 5, 5, 4 Use two-factor analysis of variance to determine if there is a significant main effect of each factor, and whether there is a significant interaction between the two factors. Calculate n² for each F ratio. Report the results of your analyses in a short paragraph that is suitable for the Results section of an APA-style research article.

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Section10.6: Summarizing Categorical Data
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Researchers investigated factors that influenced how much people like each other based on first meeting.
They were particularly interested in the effects of eye-to-eye contact and smiling. They collected data from
20 participants. Each participant was asked to wait in a small room while the experimenter went next door,
ostensibly to gather the materials needed for the study. While the participant was waiting, a confederate of
the experimenter entered the room and sat in a chair facing the participant, and asked "Are you waiting for
the experiment?". Immediately after asking the question, the confederate smiled at, and/or looked directly
into the eyes of, the participant. This was done in four conditions: for five participants the confederate smiled
and looked into the participant's eye, for five participants the confederate smiled but did not look into the
participant's eye, for five participants the confederate did not smile but did look into the participant's eyes,
and for five participants the confederate neither smiled nor looked into the participant's eyes.
Each participant later rated how friendly they thought the confederate had been. They used a 10-point scale
where 0 = not at all friendly, and 10 = extremely friendly. The ratings obtained from the five participants in
each condition are shown in this table.
smile
eye contact 7, 5, 7, 3, 5
no eye contact 2, 3, 4, 3, 4
no smile
6, 5, 5, 6, 4
4, 6, 5, 5, 4
Use two-factor analysis of variance to determine if there is a significant main effect of each factor, and whether
there is a significant interaction between the two factors. Calculate n² for each F ratio. Report the results of
your analyses in a short paragraph that is suitable for the Results section of an APA-style research article.
Transcribed Image Text:Researchers investigated factors that influenced how much people like each other based on first meeting. They were particularly interested in the effects of eye-to-eye contact and smiling. They collected data from 20 participants. Each participant was asked to wait in a small room while the experimenter went next door, ostensibly to gather the materials needed for the study. While the participant was waiting, a confederate of the experimenter entered the room and sat in a chair facing the participant, and asked "Are you waiting for the experiment?". Immediately after asking the question, the confederate smiled at, and/or looked directly into the eyes of, the participant. This was done in four conditions: for five participants the confederate smiled and looked into the participant's eye, for five participants the confederate smiled but did not look into the participant's eye, for five participants the confederate did not smile but did look into the participant's eyes, and for five participants the confederate neither smiled nor looked into the participant's eyes. Each participant later rated how friendly they thought the confederate had been. They used a 10-point scale where 0 = not at all friendly, and 10 = extremely friendly. The ratings obtained from the five participants in each condition are shown in this table. smile eye contact 7, 5, 7, 3, 5 no eye contact 2, 3, 4, 3, 4 no smile 6, 5, 5, 6, 4 4, 6, 5, 5, 4 Use two-factor analysis of variance to determine if there is a significant main effect of each factor, and whether there is a significant interaction between the two factors. Calculate n² for each F ratio. Report the results of your analyses in a short paragraph that is suitable for the Results section of an APA-style research article.
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