Intro

Variables were operationalized in the experiment as follows:

Conditions:

1 - Limited: Definition: Empathy is defined as the ability to understand and share the feelings and thoughts of others. For example, empathizing with someone in distress involves understanding the situation from his/her perspective and feeling his/her negative emotions. Recent studies have found that empathy is a limited resource so people cannot feel it toward a large number of people. Imagine that you are about to meet people in distress. Toward how many of them could you feel empathy? Importantly, Participants used a scale going from 0 - 3 people when answering how many people they can empathize with.

2 - Unlimited: Definition: Empathy is defined as the ability to understand and share the feelings and thoughts of others. For example, empathizing with someone in distress involves understanding the situation from his/her perspective and feeling his/her negative emotions. Recent studies have found that empathy is an unlimited resource so people can feel it toward a large number of people. Imagine that you are about to meet people in distress. Toward how many of them could you feel empathy? Importantly, Participants used a scale going from 0 - 300 people when answering how many people they can empathize with.

3 - Malleable: Definition: Empathy is defined as the ability to understand and share the feelings and thoughts of others. For example, empathizing with someone in distress involves understanding the situation from his/her perspective and feeling his/her negative emotions. Recent studies have shown that we can regulate our empathy and that it is not a rigid trait. That is, we can become more empathic if we try to empathize with people. Some of these studies also showed that when people learned that we can regulate our empathy, they put more effort into becoming more empathic. Imagine that you find yourself in a social situation where you would want to be empathic. How much would you be able to increase your empathy in that situation? Importantly, Participants used a scale going from 0 - 100 when answering how much they would be able to increase their empathy.

4 - Normative: Definition: Empathy is defined as the ability to understand and share the feelings and thoughts of others. For example, empathizing with someone in distress involves understanding the situation from his/her perspective and feeling his/her negative emotions.
Empathy is highly valued in most communities. Several studies demonstrate that people strongly value empathy and expect others in their community to be empathic. Empathic people are also well-liked by their peers because they better understand those around them. As people learn that their community values empathy, they often put more effort into relating to and understanding others. Imagine that you find yourself in a social situation where you would want to be empathic. How much would you be able to increase your empathy in that situation? Importantly, Participants used a scale going from 0 - 100 when answering how much they would be able to increase their empathy.

5 - Control: Financial investments can be risky. On average, people lose money when making stock investments. A small percentage of stock investors make the largest gains, the rest often lose money on their investments. Some people can be so unfortunate that they lose much of their savings and sometimes find themselves in problematic financial situations. How risky do you think stock investments are? Importantly, Participants used a scale going from 0 - 100 when answering how risky they deemed financial investments to be.

Empathy Measures:

1 - Empathic reactions:
a) Did you feel empathy with X?
b) Did you feel sympathy with X?
c) Did you feel compassion with X?

2 - Empathic drivers:
a) How badly affected were you by the story about X?
b) How much did you relate to X as you read his story? c) How motivated are you to help X improve his situation if you are given the opportunity to do so?
3 - Empathic beliefs:
a) To what extent do you think that empathy is a limited resource, for example if you feel a lot of empathy with one person, you will not be able to feel as much empathy with another person? (This is the manipulation check)
b) To what extent do you think we can change our ability to be empathic?
c) After participating in this experiment and learning more about empathy, how motivated do you feel to try to increase the empathy you feel in your everyday life?

Donation:

Opportunity to donate to the YMCA You, and everyone else that participates in this experiment, will receive a bonus payment of 1 pound (100 pence). This bonus payment is an additional payment to the basic payment that you receive for participating in this experiment. Whatever you choose to do with your bonus payment, you will receive your basic payment for participating in this experiment. As you know, John and people like him, receive help from the YMCA. You can choose to donate some, or all, of your bonus payment to the YMCA and thereby help people like John. Note, that whatever amount you choose to donate will be a real donation to the YMCA that the researchers conducting this study will make once it is completed Make your choice by using the slider below. Maximum amount that can be donated is 100 Pence. You can also choose to not donate any money to the YMCA by moving the cursor to 0. The amount you choose to donate will be deducted from your bonus payment.

Perceived ethnicity:

As you were reading his story, which ethnicity did you perceive X as having?

Trust in YMCA:

In the story you read, X visited the YMCA to receive help with various needs. The organization help people suffering from poverty across the US. How much do you trust that the YMCA use donated money in an effective way to help poor people?

Following acronyms are used in data presentation;

Intervention response = IntR

Donation = Don

Empathic reations = EmpR

Empathic drivers = EmpD

Ability = Abi

Reaction time (time spent) intervention = RT_I

Reaction time (time spent) story = RT_S

1. Descriptive data Outgroup

1.1 Demographics for participants:

Characteristic N = 7411
Age 41 (33, 53)
Ethnicity.simplified
    Black 369 (50%)
    White 372 (50%)
Country.of.residence
    United States 741 (100%)
Highest.education.level.completed
    Doctorate degree (PhD/other) 22 (3.0%)
    Graduate degree (MA/MSc/MPhil/other) 108 (15%)
    High school diploma/A-levels 175 (24%)
    Secondary education (e.g. GED/GCSE) 19 (2.6%)
    Technical/community college 115 (16%)
    Undergraduate degree (BA/BSc/other) 302 (41%)
Employment.status
    DATA_EXPIRED 156 (21%)
    Due to start a new job within the next month 4 (0.5%)
    Full-Time 329 (44%)
    Not in paid work (e.g. homemaker', 'retired or disabled) 72 (9.7%)
    Other 14 (1.9%)
    Part-Time 98 (13%)
    Unemployed (and job seeking) 68 (9.2%)
1 Median (IQR); n (%)

1.2 Table showing means for most important variables:

1.3 Cronbach’s Alpha for Empathic reactions:

##                      Alpha   Items Sample units
## Empathic reactions   0.932   3.000      741.000
## Empathic drivers     0.812   3.000      741.000
## Empathic beliefs     0.524   3.000      741.000

1.4 Scatterplots for Empathy measures & Donation

1.5 Correlation matrix for empathy measures, donation & intervention

2. Replication of Hasson et als results

We look at the manipulation check and contrasts between conditions for groups Outgroup (i.e. participants that stated that they perceived protagonist as an outgroup member) and the whole group (i.e. all participants).

Outgroup

2.1 Manipulation check:

“Regarding the manipulation check, an independent-samples t-test revealed a significant effect of condition, t(1, 198) = −4.11, p < 0.001, d = 0.58, such that participants in the unlimited condition believed empathy is unlimited (M = 4.92, SD = 1.89) more than did those in the limited condition (M = 3.9, SD = 1.58).”, Hasson et al (2022).

Tibble with mean and sd on manipulation checks for conditions:

## # A tibble: 5 × 3
##   condition  mean    sd
##   <chr>     <dbl> <dbl>
## 1 Control    4.84  2.25
## 2 Limited    4.34  2.00
## 3 Malleable  4.66  2.21
## 4 Normative  4.65  2.23
## 5 Unlimited  5.33  1.95

Plotting manipulation check distribution:

Contrasting conditions on Manipulation check

Table showing mean difference and quantile interval on Manipulation check for Conditions:

##                     Mean Quantile interval
## Unlimited & Limited .95  .46 - 1.45       
## Unlimited & Control .45  -.01 - .93       
## Control & Limited   .5   .02 - .97

Histograms showing distribution differences between Conditions for Manipulation check:

2.2 Contrasting conditions on Empathic reactions:

“To test whether the manipulation influenced empathic reactions in response to each Syrian refugee’s testimony, we ran a repeated-measures ANOVA with testimony order (1–4) as a within-participant variable, and the condition (unlimited vs. limited) as a between-participants variable. We used testimony order as the within-participant variable because all testimonies were presented in a counterbalanced order to rule out the possibility that the content of the testimonies influences the results. We found a significant main effect of condition on empathic reactions, F(1, 198) = 8.93, p = 0.003, d = 0.423. On average, participants in the unlimited condition felt more empathy toward the outgroup members (M = 5.82, SD = 1.43), compared to those in the limited condition (M = 5.18, SD = 1.60). Pairwise comparisons between the effects of limited and unlimited conditions on empathy in each testimony were all significant (Testimony #1: p < 0.001; Testimony #2: p = 0.003; Testimony #3: p = 0.037; Testimony #4: p = 0.013). Moreover, we found a significant Testimony Order × Condition interaction, F(1, 196) = 2.78, p = 0.042, d = 0.41 (Fig. 2). While empathy changed across stories in the limited condition (between testimonies #1 and #4; p = 0.021), empathy remained stable in the unlimited condition, and there were no significant differences across stories (between testimonies #1 and #4; p = 0.917).”, Hasson et al (2022).

Plotting model coeffecients on Empathic reactions for Conditions:

Table showing mean difference and quantile on Empathic reactions for Conditions:

##                     Mean Quantile interval
## Unlimited & Limited .2   .01 - .43        
## Control & Unlimited .04  -.26 - .18       
## Control & Limited   .25  .02 - .48

Histogram showing distribution differences between conditions for Empathic reactions:

2.3 Cohens d for conditions for Empathic reactions:

##           Unlimited-Limited Control-Limited Control-Unlimited
## Cohen's d              0.20            0.24              0.03

2.4 Conclusion H1a for Outgroup:

There is a hypothesized mean difference between conditions Unlimited & Limited (0.21) for Empathic reactions. Importantly, there is also a hypothesized mean difference between Control & Limited (.25). The interventions seem to have worked as expected in regards to influencing participants to believe that empathy is either limited or unlimited. There is a hypothesized mean difference between conditions Unlimited & Limited (.95) for Manipulation check.

Whole group

2.5 Manipulation check

tibble with mean and sd on manipulation checks between conditions for Outgroup:

## # A tibble: 5 × 3
##   condition  mean    sd
##   <chr>     <dbl> <dbl>
## 1 Control    4.76  2.21
## 2 Limited    4.43  2.00
## 3 Malleable  4.82  2.11
## 4 Normative  4.72  2.16
## 5 Unlimited  5.32  1.99

Plotting manipulation check distribution:

Contrasting conditions for Manipulation check

Table showing mean difference and quantile interval on Manipulation check for Conditions:

##                     Mean Quantile interval
## Unlimited & Limited .85  .42 - 1.29       
## Unlimited & Control .54  .1 - .97         
## Control & Limited   .31  -.1 - .74

Histogram showing distibution difference between conditions for Manipulatioc check:

2.6 Contrasting conditions on Empathic reactions

Plotting model coeffecients on Empathic reactions for Conditions:

## [1] 0.2911856
##       2.5%      97.5% 
## -0.0356875  0.6069128
## [1] -0.06669561
##       2.5%      97.5% 
## -0.3877932  0.2585050
## [1] -0.3578812
##        2.5%       97.5% 
## -0.66101525 -0.03810175

Histogram showing distribution difference between conditions for Empathic reactions:

2.7 Cohens d for conditions:

## [1] 0.1946075
## [1] 0.1363658
## [1] 0.05476379
##           Unlimited-Limited Control-Limited Control-Unlimited
## Cohen's d              0.19            0.13              0.05

2.8 Conclusion for Whole group:

There is a hypothesized mean difference between conditions Unlimited & Limited for Empathic reactions. Importantly, there is also a hypothesized mean difference between Control & Limited. The interventions seem to have worked as expected in regards to influencing participants to believe that empathy is either limited or unlimited. There is a hypothesized mean difference between conditions Unlimited & Limited (.85) for Manipulation check.

2.9 General conlusion:

We replicate Hasson et als results for both groups, Outgroup and Whole group, that is - there is a hypothesized mean difference between condition Limited & Unlimited for Empathic reactions. Importantly, there is no difference between condition Unlimited & Control. This suggests that the difference between Limited & Unlimited is partly driven by a negative impact on Empathic reactions caused by condition Limited. In accordance with this suggestion, we also found a mean difference between Limited & Condition for Outgroup.

MESSED UP FROM HERE DONT READ

2.2.1 tibble with mean and sd for manipulation check for whole group:

## # A tibble: 5 × 3
##   condition  mean    sd
##   <chr>     <dbl> <dbl>
## 1 Control    4.76  2.21
## 2 Limited    4.43  2.00
## 3 Malleable  4.82  2.11
## 4 Normative  4.72  2.16
## 5 Unlimited  5.32  1.99

2.2.2 anova to test conditions for manipulation check for whole group:

##              Df Sum Sq Mean Sq F value  Pr(>F)   
## condition     4     72  18.122   4.123 0.00257 **
## Residuals   885   3890   4.396                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

2.2.3 Plotting manipulation check for whole group:

Contrasting conditions on Empathic reactions

Testing H1a - For Empathic reactions we hypothesize the following directional relationships: Malleable == Unlimited > Social Norm > Limited == Control - to test if results from Hasson et als article replicate.

2.2.4 Plotting mean differences on Empathic reactions between Conditions for Whole group:

2.2.5 Mean difference Unlimited vs Control:

## [1] -0.06669561

Quantile interval:

##       2.5%      97.5% 
## -0.3877932  0.2585050

Histogram showing Mean difference between Unlimited & Control:

2.2.6 Mean difference for Malleable vs Control:

## [1] -0.193895

Quantile interval:

##       2.5%      97.5% 
## -0.5121162  0.1238105

Histogram showing Mean difference between Malleable & Control:

2.2.7 Mean difference for Normative vs Control:

## [1] -0.1307329

Quantile interval:

##       2.5%      97.5% 
## -0.4456782  0.1851942

Histogram showing Mean difference between Normative & Control:

2.2.8 Mean difference for Limited vs Control:

## [1] -0.3578812

Quantile interval:

##        2.5%       97.5% 
## -0.66101525 -0.03810175

Histogram showing Mean difference between Limited & Control:

2.2.9 Mean difference for Unlimited vs Limited:

## [1] 0.2911856

Quantile interval:

##       2.5%      97.5% 
## -0.0356875  0.6069128

Histogram showing Mean difference between Unlimited & Limited:

2.2.10 Mean difference for Malleable vs Limited:

## [1] 0.1639863

Quantile interval:

##       2.5%      97.5% 
## -0.1649105  0.4920310

Histogram showing Mean difference between Malleable & Limited:

2.2.11 Mean difference for Normative vs Limited:

## [1] 0.2271483

Quantile interval:

##        2.5%       97.5% 
## -0.08789625  0.54537675

Histogram showing Mean difference between Normative & Limited:

2.2.12 Cohens d for Limited & Unlimited:

## [1] 0.1946075

Conclusion H1a for Whole group:

There is a hypothesized mean difference between conditions Unlimited & Limited (.2) for Empathic reactions. For the rest of the contrasts, HDI does not exclude zero and therefore we conclude no hypothesized mean difference between these conditions for Empathic reactions.

General conclusion:

We replicate Hasson et als results for both groups, Outgroup and Whole group, that is - there is a hypothesized mean difference between condition Limited & Unlimited for Empathic reactions. Importantly, there is no difference between condition Unlimited & Control, or Unlimited and the other conditions for both groups. This suggests that the difference between Limited & Unlimited is partly driven by a negative impact on Empathic reactions caused by condition Limited. In accordance with this suggestion, we also found a mean difference between Limited & Condition for Outgroup.

3. Modeling Empathic drivers

Empathic reactions rest of conditions

2.1.6 Mean difference for Malleable vs Control:

## [1] -0.1318073

Quantile interval:

##       2.5%      97.5% 
## -0.3606882  0.0932938

Histogram showing Mean difference between Malleable & Control:

2.1.7 Mean difference for Normative vs Control:

## [1] -0.08704801

Quantile interval:

##       2.5%      97.5% 
## -0.3170253  0.1441882

Histogram showing Mean difference between Normative & Control:

2.1.10 Mean difference for Malleable vs Limited:

## [1] 0.1185103

Quantile interval:

##        2.5%       97.5% 
## -0.09948274  0.33956760

Histogram showing Mean difference between Malleable & Limited:

2.1.11 Mean difference for Normative vs Limited:

## [1] 0.1632696

Quantile interval:

##        2.5%       97.5% 
## -0.05790945  0.38196276

Histogram showing Mean difference between Normative & Limited:

H1b - For Empathic drivers we hypothesize the following directional relationships: Malleable == Unlimited > Social Norm > Limited == Control.

##  Family: gaussian 
##   Links: mu = identity; sigma = identity 
## Formula: empathic_reactions_z ~ 0 + condition 
##    Data: outgroup (Number of observations: 741) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Population-Level Effects: 
##                    Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## conditionControl       0.10      0.08    -0.06     0.26 1.00     5827     2859
## conditionLimited      -0.15      0.08    -0.31     0.01 1.00     6052     3047
## conditionMalleable    -0.03      0.08    -0.19     0.13 1.00     6483     2935
## conditionNormative     0.01      0.08    -0.14     0.18 1.00     5488     3335
## conditionUnlimited     0.06      0.08    -0.10     0.22 1.00     5771     2812
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.00      0.03     0.95     1.05 1.00     5951     2809
## 
## Draws were sampled using sample(hmc). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Warning: Dropping 'draws_df' class as required metadata was removed.
##       b_conditionControl b_conditionLimited b_conditionMalleable
## 2.5%          -0.1702859        -0.26659882           -0.1605880
## 97.5%          0.1407791         0.05476715            0.1671147
##       b_conditionNormative b_conditionUnlimited
## 2.5%           -0.05879902           -0.1469587
## 97.5%           0.26525970            0.1753830

Mean difference for Unlimited vs Control

## [1] 0.02863183

Quantile interval

##       2.5%      97.5% 
## -0.1986312  0.2564561

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Control and Unlimitied for Empathic drivers

Mean difference for Malleable vs Control

## [1] 0.01720522

Quantile interval

##       2.5%      97.5% 
## -0.2068777  0.2415954

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Malleable and Unlimitied for Empathic drivers

Mean difference for Normative vs Control

## [1] 0.1181297

Quantile interval

##       2.5%      97.5% 
## -0.1093017  0.3505581

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Normative and Unlimitied for Empathic drivers

H1c - For Donated money we hypothesize the following directional relationships: Malleable == Unlimited > Social Norm > Limited == Control.

BRMS model empathic drivers

##  Family: gaussian 
##   Links: mu = identity; sigma = identity 
## Formula: donation_z ~ 0 + condition 
##    Data: outgroup (Number of observations: 741) 
##   Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
##          total post-warmup draws = 4000
## 
## Population-Level Effects: 
##                    Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## conditionControl      -0.01      0.08    -0.17     0.14 1.00     5571     2979
## conditionLimited      -0.03      0.08    -0.19     0.13 1.00     5159     2871
## conditionMalleable    -0.03      0.08    -0.19     0.14 1.00     5463     2672
## conditionNormative     0.11      0.08    -0.05     0.28 1.00     5427     3302
## conditionUnlimited    -0.03      0.08    -0.20     0.13 1.00     5833     3185
## 
## Family Specific Parameters: 
##       Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma     1.00      0.03     0.95     1.05 1.00     6963     3278
## 
## Draws were sampled using sample(hmc). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).
## Warning: Dropping 'draws_df' class as required metadata was removed.
##       b_conditionControl b_conditionLimited b_conditionMalleable
## 2.5%          -0.1688229         -0.1938809           -0.1880629
## 97.5%          0.1423076          0.1282579            0.1353247
##       b_conditionNormative b_conditionUnlimited
## 2.5%           -0.04986123           -0.1968648
## 97.5%           0.27561948            0.1319767

Mean difference for Unlimited vs Control

## [1] -0.01859229

Quantile interval

##       2.5%      97.5% 
## -0.2371990  0.2159797

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Control and Unlimitied for Donation

Mean difference for Malleable vs Control

## [1] -0.01199492

Quantile interval

##       2.5%      97.5% 
## -0.2417528  0.2144014

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Malleable and Unlimitied for Donation

Mean difference for Normative vs Control

## [1] 0.1228901

Quantile interval

##       2.5%      97.5% 
## -0.1005301  0.3581822

The HDI does not exclude zero, so we conclude no hypothesized difference between condition Normative and Unlimitied for Donation