We Are Half Awake
A blog for the behavioral sciences and all things psychological
Monday, August 8, 2011
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Tuesday, July 5, 2011
Chi-Square With Studs Terkel
A Chi-Square Test of Independence With Studs Terkel’s American Dreams: Lost and Found
In American Dreams: Lost and Found, historian Studs Terkel interviewed 98 different individuals and asked them to talk about their conception of the American Dream. The interviewees ranged from wealthy to poor, urban to rural, famous to unheard of, and are meant to offer a diverse survey of people as well as a unique perspective into how Americans understand their country and their dreams. The interviews also varied as to the focus of their content. Some people spoke more of their family’s accomplishments while others spoke more directly of their own. Some spoke of broader issues, such as unions or social justice, and used “we” language while others typically relied on a first-person narrative. Further, many people exhibited certain self-concepts, in which they revealed whether they felt positive or negative about themselves. In an attempt to determine whether the focus of an interview (either self- or family/we-focused) was related to someone’s self-concept (positive, negative, or neutral/ambivalent), I conducted a textual analysis of each interview and placed each one in a cell. To determine whether the two nominal labels were independent, I then conducted a Chi-Square Test of Independence:
χ^2=∑(O_i- E_i)^2/E_i
Where O_i is each total number of observations for a specific cell and E_i is the expected total for each cell. E_i is calculated, in this case, by taking the sum of a column, multiplying it by the sum of a row, and dividing the product by the total sample size, or:
E_i=(R_i C_j)/N
After calculating the obtained χ^2, I compared it to a χ^2 critical value. The degrees of freedom are calculated by multiplying the number of rows minus one by the number of columns minus one:
df=(r-1)(c-1)
The χ^2 obtained in this case was 3.10 and the χ^2 critical value was 5.99, leading to a failure to reject the null hypothesis that interview focus and self-concept are independent. This leads to the conclusion that there is not enough evidence to determine whether or not the two variables are related or not. It could be the case that these variables are indeed independent, but further analysis should be conducted first before drawing that conclusion.
Wednesday, April 20, 2011
Gender Differences in Smiling Frequency
Thursday, April 14, 2011
Idealism!
Sunday, March 6, 2011
Lateral and Vertical Movement in Psychological Reserach
This is pretty damning if the field hopes to progress. If psychology does not move vertically by using the same methods to study constructs, then it moves laterally. The notion that scientific inquiry of a psychological nature is situated within and upon past research is a bit of a falsity, since past studies were not necessarily examining the same construct. That is, findings sit next to each other, but their stacking upon one another is merely an illusion. Other sciences use precise and similar ways of carrying out research. This constitutes a move in the vertical direction, which allows us to better understand the true state of nature. Psychology will remain hindered to the extent that it does not follow this trend.
Wednesday, March 2, 2011
"Are you not entertained?!?"
Wednesday, February 2, 2011
Statistics, I love you, but you are bringing me down
I believe that science has two primary epistemological modes: observation and theory. Observation involves simply watching. There is a precise and accurate way to watch, and this is what science tries to do. Due to cognitive biases, however, people tend to see patterns in what they watch that may not represent actual differences in nature. Thus, we have developed what some people call "social control" (see: Dr. Laura Little) so that our tendencies to see what is not there may be kept in check. This social control exists in the form of the null hypothesis significance test. This way, differences are held to a commonly agreed upon standard and if the differences appear likely to be "real" (i.e., not due to chance) then we may state they we have observed a phenomenon in nature.
Theory involves trying to understand and predict the phenomenon that we have observed. It goes beyond simply seeing if something is really there, and it attempts to look at the underlying causal mechanisms that explain or precipitate the phenomenon we are interested in. If statistics is the language of knowing whether something is actually there or not, then mathematics is the language of theory. This means that, after conducting null hypothesis significance tests, we should create parsimonious math models that explain and predict phenomena. This is not completely unheard of in psychology: it is often done in the fields of perceptual psychology, and math modeling has been used to accurately predict divorce in a social-psychological context (see: Dr. John Gottman). Yet, this type of analysis is sorely lacking in psychology as a whole.
Why is this? I believe it is because as psychologists, we have become too attached to statistics. We have worked hard (and brilliantly) to use the most advances methods to detect differences in populations, but we are highly unaware of the fact that other sciences use math modeling to create powerful theories on top of and in conjunction with statistics. Although statistics are crucial to observation, scientists should be bilingual: they must speak a language that accurately distinguishes between spurious and real phenomena (i.e., statistics) and they must speak one that is descriptive and prescriptive of both current and future events (i.e., mathematics). Psychologists need to learn to speak this second language in order to advance their science from nascence into maturity.