Soc 300 & 400 Research Methods Fall 2013 Measurement: A scheme for the assignment of numbers or symbols to specify different characteristics of a variable Variable: An observable characteristic of an object or event that can be described according to some well-defined classification scheme Data (plural): the reports of observations of variables Population: Any class of phenomena arbitrarily defined on the basis of its unique and observable characteristics Sample: A collection of phenomena so selected as to represent some well-defined population Descriptive statistics: Calculated values that represent certain overall characteristics of a body of data Sampling statistics: Calculated values that represent how sample characteristics are likely to vary from population characteristics Independent variable: A phenomenon that is manipulated by the researcher and that is predicted to have an effect on another phenomenon—also indicted by the letter x. Dependent variable: A phenomenon that is affected by the researcher’s manipulation of another phenomenon—also indicated by the letter y. Scale: a specific scheme for assigning numbers or symbols to designate characteristics of a variable Nominal scale: the assignment of numbers or symbols to designate subclasses that represent unique characteristics Ordinal scale: the assignment of numbers or symbols to identify ordered relations of some characteristic, the order having unspecified intervals Interval scale: the assignment of numbers to identify ordered relations of some characteristic, the order having arbitrarily assigned and equal intervals but an arbitrarily assigned zero point Ratio scale: the assignment of numbers to identify ordered relations of some characteristic, the order having arbitrarily assigned and equal intervals but an absolute zero point Validity: the degree to which researchers measure what they claim to measure Reliability: the external and internal consistency of measurement Mode: the most frequent score in a distribution Median: the midpoint or midscore in a distribution Mean: the sum of scores in a distribution divided by the number of scores Range: the highest score in a distribution minus the lowest score Variance: the mean of the squared deviation scores about the mean of a distribution Statistic (singular): a characteristic of a sample Parameter: a characteristic of a population Statistical inference: the process of estimating parameters from statistics Hypothesis: a statement of a relationship between two variables. Null hypothesis: a statement that statistical differences or relationships have occurred for no reason other than laws of chance operating in an unrestricted manner Research hypothesis: a statement expressing differences or relationships among phenomena, the acceptance or nonacceptance of which is based on resolving a logical alternative with a null hypothesis Quantitative analysis: the numerical representation and manipulation of observations for the purpose of describing and explaining the phenomena that those observations reflect Significance: the level of calculated probability was sufficiently low as to serve as grounds for rejection of the null hypothesis. The level of significance set by the researcher is called the alpha level. example: a relationship is significant at the .05 level if the likelihood of its being only a function of sampling error is no grater than 5 out of 100. Type I error: rejecting a null hypothesis when it should have been the acceptable alternative Type II error: accepting a null hypothesis when it should have been the rejected alternative Statistical Power: the probability of rejecting a null hypothesis that is, in fact, false Continuous variable: a variable whose attributes form a steady progression, such as age or income Discrete variable: a variable whose attributes are separate form one another, or discontinuous, such as gender or religious affiliation Normal distribution: a distribution whose shape is symmetrical with the mean, median, and mode being the same. The total area under the distribution is equal to 1. Skewness: the description of a distribution with a peak that tends to be displaced at one or the other end of a distribution that has a tail strung out in the opposite direction. Bimodal distribution: a distribution curve with two peaks. Variance: the mean of the squared deviation scores about the mean of a distribution. Standard deviation: the square root of the variance.