Does adding math to a scientific paper make readers think that it has more value? Erikkson (2012) sent two abstracts of scientific papers to 200 people with postgraduate degrees. For each participant, one of the abstracts was randomly chosen and had a meaningless sentence inserted describing an unrelated. mathematics model, while the other had no mathematical addition. The sentence had no conceptual connection to the subject matter of the abstract; it was just meaningless mathematics in that context. Participants were asked to rate the quality of the research in each a
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
This question is from the below book, Chapter 15 (Comparing means of more than two groups) , AP 27
Book-Analysis of biological data
2nd Edition
Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
ISBN: 978193622148
Does adding math to a scientific paper make readers think that it has more value? Erikkson (2012) sent two abstracts of scientific papers to 200 people with postgraduate degrees. For each participant, one of the abstracts was randomly chosen and had a meaningless sentence inserted describing an unrelated. mathematics model, while the other had no mathematical addition. The sentence had no conceptual connection to the subject matter of the abstract; it was just meaningless mathematics in that context. Participants were asked to rate the quality of the research in each abstract on a scale from 1 to 100 and the differences between the scores of their two abstracts -score of the abstract with math minus score of abstract without math-were recorded. Participants were also asked for the subject matter of their postgraduate degree : math, science, technology (MST); medicine (M), humanities, social sciences (HS) or other (O). A box plot of the data and summaries were of their result for each group are given below; the full data set can be found out at whitlockschluter.zoology.ubc.ca. Graph attached in the image.
- Examine the graph and judge by eye how well the data likely fit the assumptions of ANOVA.
- Test whether the subject background of the participants affected how much the added math changed their views of the abstracts on average.
- Is the relationship between degrees subject and score difference strong? Answer using R2.
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