Background
In a 3 (extent to which seller is informed: high vs. low vs. control)
cell design, participants read about one of three taboo transactions
(cancerous cell-phone tower; storing hazardous chemicals; testing beauty
products for side effects) and were asked to indicate to what extent the
seller benefited from each of them and to what extent the buyer
benefited from each of them. They also indicated who they believe had
more power in the transaction.
Attention check
This time, we also added an attention check: What are the roles
of Person A and Person B in the transaction that took place?
The correct answer is: Person A paid money and Person B received
money
## `summarise()` has grouped output by 'cond'. You can override using the
## `.groups` argument.
cond
|
pass_check
|
N
|
low
|
0
|
1
|
low
|
1
|
65
|
control
|
0
|
4
|
control
|
1
|
63
|
high
|
0
|
2
|
high
|
1
|
65
|
Alright, 7 people didn’t pass the attention check, and it looks like
it’s more or less even across conditions. That leaves us with 193
participants.
Demographics
Race
race
|
N
|
Perc
|
asian
|
20
|
10.36
|
black
|
16
|
8.29
|
hispanic
|
6
|
3.11
|
multiracial
|
8
|
4.15
|
white
|
139
|
72.02
|
NA
|
4
|
2.07
|
Gender
gender
|
N
|
Perc
|
man
|
98
|
50.78
|
woman
|
91
|
47.15
|
NA
|
4
|
2.07
|
Age
age_mean
|
age_sd
|
42.34715
|
11.94557
|
Education
edu
|
N
|
Perc
|
GED
|
42
|
21.76
|
2yearColl
|
25
|
12.95
|
4yearColl
|
89
|
46.11
|
MA
|
27
|
13.99
|
PHD
|
7
|
3.63
|
NA
|
3
|
1.55
|
Income

Analysis
Condition -> Benefit
DV operationalized as mean benefit score
Descriptives
party
|
cond
|
benefit_M
|
benefit_SD
|
buyer
|
low
|
1.85
|
1.31
|
buyer
|
control
|
1.43
|
1.29
|
buyer
|
high
|
1.45
|
1.29
|
seller
|
low
|
-1.34
|
1.55
|
seller
|
control
|
-0.06
|
1.77
|
seller
|
high
|
-0.52
|
1.72
|
Two-way Repeated Measures ANOVA
Effect
|
DFn
|
DFd
|
F
|
p
|
p<.05
|
ges
|
cond
|
2
|
197
|
3.138
|
0.046000
|
|
0.010
|
party
|
1
|
197
|
151.462
|
0.000000
|
|
0.340
|
cond:party
|
2
|
197
|
8.176
|
0.000388
|
|
0.053
|
Bonferroni-corrected post-hoc comparisons: Condition
party
|
Effect
|
DFn
|
DFd
|
F
|
p
|
p<.05
|
ges
|
p.adj
|
buyer
|
cond
|
2
|
197
|
2.42
|
0.092000
|
|
0.024
|
0.184000
|
seller
|
cond
|
2
|
197
|
9.07
|
0.000171
|
|
0.084
|
0.000342
|
Bonferroni-corrected post-hoc comparisons: Party
cond
|
Effect
|
DFn
|
DFd
|
F
|
p
|
p<.05
|
ges
|
p.adj
|
low
|
party
|
1
|
65
|
106.090
|
0.0e+00
|
|
0.546
|
0.00e+00
|
control
|
party
|
1
|
66
|
25.387
|
3.9e-06
|
|
0.179
|
1.16e-05
|
high
|
party
|
1
|
66
|
35.299
|
1.0e-07
|
|
0.279
|
4.00e-07
|
No real difference between control and high. If anything, control is
higher, which we wouldn’t really expect. Low is way down.
Categorical DV
Let’s look at the share of people who believed that: (1) both buyer
and seller benefited; (2) buyer benefited and seller was harmed; (3)
seller benefited and buyer was harmed; and (4) both buyer and seller
were harmed. I’ll categorize 0 as benefit. So really, 1 means unharmed
and 0 means harmed.
cond
|
both benefit
|
both harmed
|
buyer benefit seller harmed
|
buyer harmed seller benefit
|
low
|
14
|
3
|
45
|
3
|
control
|
37
|
1
|
24
|
1
|
high
|
26
|
1
|
35
|
3
|
Hmm, quite a lot of win-win in the control condition. And in the high
condition, much more win-lose. Looks like high explicitly mentioning
that sellers are informed is doing something, but not quite lending them
more benefit. It looks like there might be an even greater penalty to
their “dignity” if they know the risks but decide to do it anyway.
That’s very interesting.
Chi-Square
chi^2(6) = 19.47, p = .003
Chi-Square post-hoc test: condition (bonferroni-corrected)
Dimension
|
Value
|
low
|
control
|
high
|
both benefit
|
Residuals
|
-3.71138981948556
|
3.71961361552863
|
0.0209501
|
both benefit
|
p values
|
0.0025*
|
0.0024*
|
1.0000000
|
both harmed
|
Residuals
|
1.26178912834871
|
-0.610847228129145
|
-0.6557329
|
both harmed
|
p values
|
1
|
1
|
1.0000000
|
buyer benefit seller harmed
|
Residuals
|
3.04744623482343
|
-3.06355907535857
|
-0.0079154
|
buyer benefit seller harmed
|
p values
|
0.0277*
|
0.0262*
|
1.0000000
|
buyer harmed seller benefit
|
Residuals
|
0.523399356559488
|
-1.05507393053534
|
0.5233994
|
buyer harmed seller benefit
|
p values
|
1
|
1
|
1.0000000
|
Condition -> Power
We asked participants: In your opinion, what is the balance of power
in this transaction between Person A (the buyer) and Person B (the
seller)? (-3 = Person A has much more power to 3 = Person B has much
more power)
Importantly, this appeared right after the benefit question.
cond
|
power_M
|
power_SD
|
low
|
-1.42
|
1.48
|
control
|
-0.43
|
1.60
|
high
|
-0.80
|
1.39
|
One-way ANOVA:
|
diff
|
lwr
|
upr
|
p adj
|
control-low
|
0.987
|
0.363
|
1.610
|
0.001
|
high-low
|
0.615
|
-0.003
|
1.234
|
0.052
|
high-control
|
-0.371
|
-0.995
|
0.252
|
0.339
|

Lower information means lower power. High information and control are
pretty similar.
Supplementary analysis
Let’s break these down by transaction (stats aren’t really necessary
here because we’d be underpowered anyway)
Cancerous cell-phone tower
Condition -> Benefit
party
|
cond
|
benefit_M
|
benefit_SD
|
buyer
|
low
|
2.37
|
1.07
|
buyer
|
control
|
1.57
|
1.27
|
buyer
|
high
|
2.04
|
1.07
|
seller
|
low
|
-2.47
|
0.90
|
seller
|
control
|
-0.78
|
1.88
|
seller
|
high
|
-1.52
|
1.41
|
Condition -> Power balance
cond
|
balance_M
|
balance_SD
|
low
|
-1.42
|
1.39
|
control
|
-0.22
|
1.91
|
high
|
-0.48
|
1.50
|
Storing hazardous chemicals
Condition -> Benefit
party
|
cond
|
benefit_M
|
benefit_SD
|
buyer
|
low
|
1.75
|
1.42
|
buyer
|
control
|
1.50
|
1.47
|
buyer
|
high
|
1.26
|
1.48
|
seller
|
low
|
-1.54
|
1.59
|
seller
|
control
|
0.23
|
1.74
|
seller
|
high
|
0.16
|
1.98
|
Condition -> Power balance
cond
|
balance_M
|
balance_SD
|
low
|
-1.04
|
1.68
|
control
|
-0.18
|
1.33
|
high
|
-0.47
|
1.17
|
Testing beauty products for dangerous side effects
Condition -> Benefit
party
|
cond
|
benefit_M
|
benefit_SD
|
buyer
|
low
|
1.50
|
1.30
|
buyer
|
control
|
1.17
|
1.10
|
buyer
|
high
|
1.00
|
1.13
|
seller
|
low
|
-0.14
|
1.08
|
seller
|
control
|
0.50
|
1.38
|
seller
|
high
|
-0.09
|
1.35
|
Condition -> Power balance
cond
|
balance_M
|
balance_SD
|
low
|
-1.82
|
1.26
|
control
|
-1.00
|
1.41
|
high
|
-1.39
|
1.31
|