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Statistics LibreTexts

1.6: Chapter 1 Key Terms

  • Page ID
    4544
  • Average
    also called mean or arithmetic mean; a number that describes the central tendency of the data
    Blinding
    not telling participants which treatment a subject is receiving
    Categorical Variable
    variables that take on values that are names or labels
    Cluster Sampling
    a method for selecting a random sample and dividing the population into groups (clusters); use simple random sampling to select a set of clusters. Every individual in the chosen clusters is included in the sample.
    Continuous Random Variable
    a random variable (RV) whose outcomes are measured; the height of trees in the forest is a continuous RV.
    Control Group
    a group in a randomized experiment that receives an inactive treatment but is otherwise managed exactly as the other groups
    Convenience Sampling
    a nonrandom method of selecting a sample; this method selects individuals that are easily accessible and may result in biased data.
    Cumulative Relative Frequency
    The term applies to an ordered set of observations from smallest to largest. The cumulative relative frequency is the sum of the relative frequencies for all values that are less than or equal to the given value.
    Data
    a set of observations (a set of possible outcomes); most data can be put into two groups: qualitative (an attribute whose value is indicated by a label) or quantitative (an attribute whose value is indicated by a number). Quantitative data can be separated into two subgroups: discrete and continuous. Data is discrete if it is the result of counting (such as the number of students of a given ethnic group in a class or the number of books on a shelf). Data is continuous if it is the result of measuring (such as distance traveled or weight of luggage)
    Discrete Random Variable
    a random variable (RV) whose outcomes are counted
    Double-blinding
    the act of blinding both the subjects of an experiment and the researchers who work with the subjects
    Experimental Unit
    any individual or object to be measured
    Explanatory Variable
    the independent variable in an experiment; the value controlled by researchers
    Frequency
    the number of times a value of the data occurs
    Informed Consent
    Any human subject in a research study must be cognizant of any risks or costs associated with the study. The subject has the right to know the nature of the treatments included in the study, their potential risks, and their potential benefits. Consent must be given freely by an informed, fit participant.
    Institutional Review Board
    a committee tasked with oversight of research programs that involve human subjects
    Lurking Variable
    a variable that has an effect on a study even though it is neither an explanatory variable nor a response variable
    Mathematical Models
    a description of a phenomenon using mathematical concepts, such as equations, inequalities, distributions, etc.
    Nonsampling Error
    an issue that affects the reliability of sampling data other than natural variation; it includes a variety of human errors including poor study design, biased sampling methods, inaccurate information provided by study participants, data entry errors, and poor analysis.
    Numerical Variable
    variables that take on values that are indicated by numbers
    Observational Study
    a study in which the independent variable is not manipulated by the researcher
    Parameter
    a number that is used to represent a population characteristic and that generally cannot be determined easily
    Placebo
    an inactive treatment that has no real effect on the explanatory variable
    Population
    all individuals, objects, or measurements whose properties are being studied
    Probability
    a number between zero and one, inclusive, that gives the likelihood that a specific event will occur
    Proportion
    the number of successes divided by the total number in the sample
    Qualitative Data
    See Data.
    Quantitative Data
    See Data.
    Random Assignment
    the act of organizing experimental units into treatment groups using random methods
    Random Sampling
    a method of selecting a sample that gives every member of the population an equal chance of being selected.
    Relative Frequency
    the ratio of the number of times a value of the data occurs in the set of all outcomes to the number of all outcomes to the total number of outcomes
    Representative Sample
    a subset of the population that has the same characteristics as the population
    Response Variable
    the dependent variable in an experiment; the value that is measured for change at the end of an experiment
    Sample
    a subset of the population studied
    Sampling Bias
    not all members of the population are equally likely to be selected
    Sampling Error
    the natural variation that results from selecting a sample to represent a larger population; this variation decreases as the sample size increases, so selecting larger samples reduces sampling error.
    Sampling with Replacement
    Once a member of the population is selected for inclusion in a sample, that member is returned to the population for the selection of the next individual.
    Sampling without Replacement
    A member of the population may be chosen for inclusion in a sample only once. If chosen, the member is not returned to the population before the next selection.
    Simple Random Sampling
    a straightforward method for selecting a random sample; give each member of the population a number. Use a random number generator to select a set of labels. These randomly selected labels identify the members of your sample.
    Statistic
    a numerical characteristic of the sample; a statistic estimates the corresponding population parameter.
    Statistical Models
    a description of a phenomenon using probability distributions that describe the expected behavior of the phenomenon and the variability in the expected observations.
    Stratified Sampling
    a method for selecting a random sample used to ensure that subgroups of the population are represented adequately; divide the population into groups (strata). Use simple random sampling to identify a proportionate number of individuals from each stratum.
    Survey
    a study in which data is collected as reported by individuals.
    Systematic Sampling
    a method for selecting a random sample; list the members of the population. Use simple random sampling to select a starting point in the population. Let k = (number of individuals in the population)/(number of individuals needed in the sample). Choose every kth individual in the list starting with the one that was randomly selected. If necessary, return to the beginning of the population list to complete your sample.
    Treatments
    different values or components of the explanatory variable applied in an experiment
    Variable
    a characteristic of interest for each person or object in a population