Statistics is a branch of applied mathematics which consists of theories and methods on how to collect, measure, classify, calculate, explain, synthesize, analyze, and interpret data obtained systematically. Thus, it consists of a set of procedures on how to:
This article will briefly describe the meaning and differences of statistics vs. parameters , statistical methods, descriptive statistics vs. inferential statistics , mathematical statistics vs. applied statistics , parametric vs. non-parametric statistics , and univariate and multivariate statistics and the role of statistics in research.
Variable comes from the words " vary " and " able " which means " change " and " can". So, literally means variable is mutable , so each variable can be assigned a value and that value is arbitrary. The value can be quantitative (measured and/or calculated, can be expressed with numbers) can also be qualitative (the number and degree of attributes expressed by quality values). Variables are important elements in research problems. In statistics, variables are defined as concepts, qualities, characteristics, attributes, or properties of an object (people, objects, places, etc.) whose values vary from one object to another and have been determined by researchers to be studied and conclusions drawn . Characteristics are certain characteristics of the object we are examining, which can distinguish the object from other objects, while the object whose characteristics we are observing is called the unit of observation and a certain number or category (quality value) of an object that we are observing is called variate (value). The collection of values obtained from the measurement or calculation of a variable is called data .
The population is the whole of the research object which is the center of attention and is the source of research data. The object of research can be humans, animals, plants, symptoms, values, events, attitudes to life, and so on. The sample is part of the population selected by using certain rules, which are used to collect information/data that describes the nature or characteristics of the population.
If we look at the definition, the definition of population can be very diverse, so we must define the population clearly and precisely. On the other hand, a sample that is representative of the population must be able to describe the characteristics of the population because the sample is used to generalize a population. Thus, the sample must be truly representative so that it can represent and reflect the characteristics of the population from which the sample was taken.
Variable measurement is the process of assigning values or attributes to an object. There are four types of Variable Measurement Scale, namely Nominal, Ordinal, Interval, Ratio. The lowest scale is the Nominal and the highest is the Ratio Scale. A measurement scale that is higher will have the characteristics of a measurement scale below it. The four measurement scales were proposed by a psychologist, Stanley Smith Stevens, in 1946 in one of his scientific articles entitled "On the theory of scales of measurement".
The focus of research design and statistical analysis is the study of variables. When you want to study a phenomenon, the first step is to define the phenomenon under study, in this case is to determine the variables that we observe and then determine how you measure these variables. This process is known as operational definition . It is clear here that to understand a phenomenon, we must first understand the terms variables and measurement scales. If you do not clearly define how to measure the variables you want to study, you will eventually experience confusion in determining the right research design and in determining the appropriate statistical analysis procedure.