A researcher wanted to investigate the relationship between two musicians and the types of music that they play on audience applause. They had two different musicians, Erica and Susan, play 13 pieces of music for two different styles of music, a classical symphony and a hard rock song for a total of 52 performances across both musicians an
A researcher wanted to investigate the relationship between two musicians and the types of music that they play on audience applause. They had two different musicians, Erica and Susan, play 13 pieces of music for two different styles of music, a classical symphony and a hard rock song for a total of 52 performances across both musicians and music genres. The volume (in decibels) after each of the performances was measured.
Below are the means for each condition:
| Classical music | Mean |
| Erica | 6.77 |
| Susan | 9.54 |
| Overall classical music | 8.15 |
| Hard Rock | |
| Erica | 5.92 |
| Susan | 6.23 |
| Overall hard rock | 6.08 |
| Musicians | |
| Erica overall | 6.35 |
| Susan overall | 7.88 |
Note: "overall" refers to the total for each condition, use these when describing your main effects.
The p-value for Musician is obtained by using the EXCEL
The p-value for Song is obtained by using the EXCEL function '=F.DIST.RT(9.11,1,48)'. The p-value is 0.00.
The p-value for Musician x Song is obtained by using the EXCEL function '=F.DIST.RT(2.43,1,48)'. The p-value is 0.13.
The eta2 for Musician is,
η2=SSMSSM+SSE=1717+79=1796=0.18
The eta2 for Song is,
η2=SSSSSS+SSE=1515+79=1594=0.16
The eta2 for Musician x Song is,
η2=SSM x SSSM x S+SSE=44+79=483=0.05
Thus, the complete table is,
| Source | Sum of squares | df | MS | F | p | eta2 |
| Musician | 17 | 1 | 17 | 10.33 | 0.00 | 0.18 |
| Song | 15 | 1 | 15 | 9.11 | 0.00 | 0.16 |
| Musician x Song | 4 | 1 | 4 | 2.43 | 0.13 |
0.05
|
Write up the appropriate summary of your results from this research scenario in APA formatting.
For each effect (Musician, Song type, Musician X Song type), be sure to your test statistics including F-ratio , degrees of freedom , p < or > .05 , effect size , and your interpretation of the results .
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