ECON10005 Lecture Notes - Lecture 1: Categorical Variable, Time Series, Frequency Distribution
Document Summary
The practice of statistics is the study of information specifically the study of information that"s embedded in what we observe in the world. Inferential statistics: using observations to say something about the population from which they"re drawn. Interval data (numerical) measurements/observations where the difference between two values is meaningful. Measurements/observations that fall into a set of mutually exclusive categories. Measurements/observations that posses a natural ordering/ranking but the difference between values is not informative (e. g. ) preferential voting. Statistic: rule for combining data known function of the data. Summarising the information to a smaller value, without losing too much information (e. g. ) average. Since data reduction involves combining observations we"ll see many statistics that are characterised by sums, in the form x1 + x2 + + xn. As notational shorthand sums are expressed in sigma/summation notation: Note: if ever unsure, simply replace the sigma notation with the sum written in long form and work on that.