Archived posting to the Leica Users Group, 1997/09/04
[Author Prev] [Author Next] [Thread Prev] [Thread Next] [Author Index] [Topic Index] [Home] [Search]In einer eMail vom 05.09.1997 02:26:05, schreiben Sie: > how closely any >sample is likely to reflect the frequencies of the whole population >depends on the sample size. The smaller it is, the less confident one >can be of its similarity to the whole. And twenty-some units out of >several hundred thousand is a very small sample indeed. Thanks for covering the response bias, and sample sizes. Further, there are several additional effects, which have influence on the interpretation of results, e.g. 1) the interpretation of the results depends on the effect size also, e.g. you don't need a medium to large sample size to find out, that strychnine is dangerous to persons's health. 2) the revealed event of broken M6s might follow the law of large numbers, meaning (also): there is a large (absolute) _number_ of broken M6s, if the number of produced M6s is large, even if the garbage _rate_ (percentage) is low. 3) the revealed event of broken M6s might agree to the law of rare events, which usually indicates that a certain event is related to/ takes place with a certain period or person (or similar), but follows a different theoretical distribution than the "normal" one. Thus event will happen again with p=1.0 (absolute security), even if you would exclude the special period or person from future production or investigation, as long as the sample is "open" and you don't change the situational conditions. 4) you don't generalize from sample results anymore since middle of the '60s, specially not from the observation of rare events, e.g. you would not conclude from the color of three _black_ swans observed from your local lake onto the color of all swans on earth. 5) the _subjective_ importance, significance or meaningfullness of the observed result depends on different criteria than the statistical approach, e.g. some persons would take into account even a propability of p=0.90 against them or of things going wrong, if the event has a strong enough meaning for them [example: you might marry a certain person, although the chances might be 0.90 (~90%) that the relation will go wrong]. OTOH, it's good to know, that nobody of the respondents mentioned a broken M6 before 1995, no matter whether the garbage rate might be 0.01 or 50 percent. It means that LUGers, who follow the survey's indication, pay less for a fine (used) camera. It's similar to select a divorced partner for your life - you don't care, that she/ he has been living before ... Besides, there are still those fine and highly reliable M2s and M3s on the market ... giving you more and longer pleasure than a lot of the younger bodies ;-) Alf