not understand or believe the groupings, they will be left with the 20 adjectives which is an overwhelming amount of data to easily comprehend. Differences between genders is a more subtle matter to eyeball from the data. The above data suggests that the women are more dependable when you look at the twenty adjectives. For the four groupings, the men appear to be more analytical, driver, and expressive by calculation of the ratio of males to females for each category, but this reflects the ratio of 12 boys to 7 girls in the class. Adjusting for the number of boys and girls will still have the males with an excess of analytical, driver, and expressive, and the females with an excess of amiable. Although this might be consistent with some sex stereotypes, in fact gender was randomly assigned to this data after it was collected (i.e., is not the gender of the person who supplied the data). Trying to eyeball whether there is a sex difference in social styles illustrates the need for inferential statistics. Although the ratios .49, 1.56, 1.55, and 1.28 (11/13, 8/3, 18/7, and 11/5 adjusted by the 12 to 7 sex ratio of respondents) may seem quite different from 1, the chi-square test does not show a significant association between gender and the four categories for this data set. Errors of judging too little deviation from expected values have also occurred; John Arbuthnott in the first paper employing inferential statistics (An Argument for Divine Providence, taken from the Constant Regularity observed in the Births of both Sexes) correctly demonstrated that more boys than girls are born, but asserted that there was less variation in the sex ratio than would occur by chance, when in fact there was more variation (he developed a test of hypothesis for the mean of the sex ratio, but a test for the variation of the sex ratio had not been developed yet). Assessment 1. Which of the 20 adjectives were chosen by the most students? Did half of the students choose any of the adjectives? 2. Which group was the most common choice? Was the most common adjective in that group? 3. Is there a synonym for prudent people may have been more likely to choose (did the particular choice of words effect whether people chose them)? 4. How can you group models of cars into fewer categories? 5. What information was lost when the tally of the twenty adjectives was created?
not understand or believe the groupings, they will be left with the 20 adjectives which is an overwhelming amount of data to easily comprehend. Differences between genders is a more subtle matter to eyeball from the data. The above data suggests that the women are more dependable when you look at the twenty adjectives. For the four groupings, the men appear to be more analytical, driver, and expressive by calculation of the ratio of males to females for each category, but this reflects the ratio of 12 boys to 7 girls in the class. Adjusting for the number of boys and girls will still have the males with an excess of analytical, driver, and expressive, and the females with an excess of amiable. Although this might be consistent with some sex stereotypes, in fact gender was randomly assigned to this data after it was collected (i.e., is not the gender of the person who supplied the data). Trying to eyeball whether there is a sex difference in social styles illustrates the need for inferential statistics. Although the ratios .49, 1.56, 1.55, and 1.28 (11/13, 8/3, 18/7, and 11/5 adjusted by the 12 to 7 sex ratio of respondents) may seem quite different from 1, the chi-square test does not show a significant association between gender and the four categories for this data set. Errors of judging too little deviation from expected values have also occurred; John Arbuthnott in the first paper employing inferential statistics (An Argument for Divine Providence, taken from the Constant Regularity observed in the Births of both Sexes) correctly demonstrated that more boys than girls are born, but asserted that there was less variation in the sex ratio than would occur by chance, when in fact there was more variation (he developed a test of hypothesis for the mean of the sex ratio, but a test for the variation of the sex ratio had not been developed yet). Assessment 1. Which of the 20 adjectives were chosen by the most students? Did half of the students choose any of the adjectives? 2. Which group was the most common choice? Was the most common adjective in that group? 3. Is there a synonym for prudent people may have been more likely to choose (did the particular choice of words effect whether people chose them)? 4. How can you group models of cars into fewer categories? 5. What information was lost when the tally of the twenty adjectives was created?