Review of Printed Literature related to Game Participation and Perceptions of Randomness
by Elan / Jonathan / Shmuel / Daniel

    Having reviewed some of the research pertinent to the experiment we proposed, it became clear that there are several possible directions in which the experiment can go. The primary research regarding Hot-streaks has been reviewed in a book entitled "How we know what isn't so" by Thomas Gilovich. Gilovich discusses the persistent belief held by basketball players and fans in the "hot hand" despite the fact that statistical analyses of shooting patterns actually finds that there is no such phenomenon. People demonstrate an almost unbelievable immutability in maintaining their belief in the hot hand. Red Auerbach , the brains behind the Boston Celtics responded to the statistics presented by Gilovich saying " There are so many variables in shooting the basketball that a paper like this doesn't really mean anything". Gilovich posits that people are generally inclined to allow their preconceived ideas about player's confidence and their corresponding shooting skill to influence their perception of a pattern in the shooting, seeing one where there is in fact none. Sequences of successive hits or misses seem to be remembered more readily than sequences of alternating hits and misses. A second explanation offered by Gilovich is that people are generally inaccurate in determining what randomness really "should" look like.  People expect random series to contain few if any streaks at all but rather an alternating pattern of hits and misses. As a result truly random sequences, which do contain certain clumps of streaks will not be perceived as being random. Gilovich refers to this as the "clustering illusion".  It is clear from this research that people sometimes have a tendency to misconstrue random events, seeing a "pattern" where there is, in fact, only chance at work. It would seem  that there are certain cognitive factors that allow people to make misperceptions of this nature. We would like to posit that the type of phenomenon described in Gilovich's experiment is more and less prevalent in different situations and contexts. Circumstances where an individual is directly involved in an activity, rather than an external observer, might lead him or her to more of the type of "clustering illusion" described by Gilovich. In fact, Gilovich concludes that those closest to the game of basketball exhibited a stronger belief in the hot hand than those not as intimately involved in the game of basketball. Although not exactly the type of relationship we are describing, it may be extremely relevant in understanding the factors at work in such type of decision-making processes.          Another experiment published in the journal of applied social psychology investigated people's ability to assess coin tosses and determine whether they were random or not. Consistent with Gilovich's results, this experiment found that people were very poor at  determining whether a series was random or not. This is described by the authors as a reflection of people's inability to recognize the "independence of events". This principal applied in this situation translates into people's believing that a previous coin toss could effect the outcome of a subsequent one. Thus, they would tend to perceive what they believed to be non-random streaks in the patterns of tosses. This finding buttresses the idea that people have a certain notion of what randomness is supposed to look like and are inclined to see patterns where none exist when their ideal concept of randomness is not met.
     The second part of this experiment tested for the effect of motivational factors on this inaccurate perception of random events. In fact, the experimenters found no relationship between the motivational character of an activity and the ability to judge randomness. Oh well.
    A third experiment we reviewed, also  published in the Journal of Applied Social Psychology studied people's perception about the risk level as a function of their level of control over the environment. Subjects were asked to estimate the chance of a vehicular accident occurritical probability involved. The tendency to associate less risk-under certain circumstances- to situations where the participant, as opposed to a peer, is involved are consistent with the idea that people might perceive there to be less randomness when directly involved in an activity. However, the fact that people don't always demonstrate this tendency (the "future" events) indicated that there are other factors that influence this kind of bias and it is important to determine under what circumstances it occurs.

References
  1. Gilovich, Thomas (1991).  How We Know What Isn't So.  New York: The Free Press
  2. Greenberg, Leilani; Chandler, Carla C.  Journal of Applied Social Psychology.  Vol 27(9) 760-780, May 1197.
  3. Klar, Yechiel; Medding, Aviva; Sarel, Dan.  Nonunique invulnerability: Singular versus distributional probabilities and unrealistic optimism in comparative risk judgments.  Orginizational Behavior & Human Decision Processes.  Vol 67(2) 229-245, Aug 1996.
  4. Ladoceur, Robert; Paquet,Claude; Dube, Dominique.  Journal of Applied Social Psychology.  Vol 26(24) 2157-2166, Dec 1996.

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