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Biostatistics 603 Definitions (so far)
**Please note: This list may not be all-inclusive! This is NOT to serve in place of studying notes as well!
52
Mathematics
Graduate
01/27/2013

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Term
Biostatistics
Definition
The analysis of medical, biological and public health data (applicable to epidemiology, policy, community, environmental health, and occupational health)
Term
Statistics
Definition
The science in which inferences are made about specific random phenomena on the basis of relatively limited sample material.
Term
Descriptive Statistics
Definition
Statistics that summarize information. 
Term
Inferential statistics
Definition
Statistics that make a decision. 
Term
A Population
Definition
The largest collection of entities in which we are interested and that have a common observable characteristic. (Can be finite OR infinite)
Term
Parameter
Definition
A characteristic of a population. (A fixed value that represents a characteristic in a population.)
Term
Variable
Definition
A characteristic that takes on different values for different persons, places, or things. 
Term
A Qualitative Variable
Definition
A variable that uses categories only (ie: gender, grade in school...)
Term
A Quantitative Variable
Definition
A variable that can be measured (ie: height, weight, amount of water in pipes...etc)
Term
A Random Variable
Definition
A value that arises as a result of chance factors.
Term
A Discrete Variable
Definition
A variable that only takes certain values. There are gaps between the values. 
Term
A Dichotomous Variable
Definition
A discrete, qualitative variable that can take on only two values. 
Term
A Continuous Variable
Definition
A quantitative variable that has an infinite number of possible values. There are no gaps between values. 
Term
A Sample
Definition
Part of a population. 
Term
A Statistic
Definition
A measure from a sample used to estimate a parameter. 
Term
Greek letters 
Definition
Represent parameters. 
Term
Roman letters 
Definition
Represent a statistic. 
Term
Nominal Measurement
Definition
Putting into non-overlapping categories. Classification based on a qualitative assessment; no information regarding quantity or amount. (ie. gender, ABO blood group, country of birth...etc) 
Term
Ordinal Measurement
Definition
Putting into non-overlapping categories based on qualitative data including the concept of a "greater than" or "less than" ranking. (ie. grade in school, "how do you feel today?"...etc)
Term
Interval Measurement
Definition
Has no true zero point. 0 is just another point on the scale. (ie. temperature)
Term
Ratio Measurement
Definition
Has a true zero point with a physical significance (ie. blood pressure level, height, weight...etc) 
Term
Simple Random Sample
Definition
A sample in which every possible observation in the population has an equal chance of being selected for the sample. (Can be either "with replacement"-meaning the observation can be reseen even after being seen already OR "without replacement"-meaning the observation cannot be seen twice before all observations are seen once)
Term
Mean
Definition
Average.
Term
Mode
Definition
Value that occurs most often. (EX1: If each observation is observed twice, this does not exist in the sample. EX2: If each observation is observed twice except one, then ALL OBSERVATIONS SEEN TWICE are thisEX3: If 2 observations are seen 3X and all other observations are seen 2X or less, than the 2 observations seen 3X are BOTH considered this)
Term
Median
Definition
Middle value. Value that divides the dataset into two equal parts. 
Term
Range
Definition
The difference between the largest and smallest values of a dataset. 
Term
Interquartile Range
Definition
The difference between the upper and lower 25th percentile.
Term
Coefficient of Variation
Definition
Allows for comparison of datasets. 
Term
Sample Space
Definition
The set of all possible outcomes. 
Term
Event
Definition
Outcome of interest. 
Term
Probability of an Event
Definition
The relative frequency of the event over a large number of trials. 
Term
Union of two events
Definition
The probability that at least one of those two events occur. 
Term
Intersection of two events
Definition
Probability that both events occur. 
Term
Complement of an event
Definition
The probability of that event NOT happening. 
Term
Two events are independent.
Definition
Is true only if the outcome of one event does not impact that of the other event. 
Term
Mutually Exclusive
Definition
Events that cannot occur at the same time. 
Term
Relative Risk
Definition
The risk of an event relative to another event. (Is equal to 1 if both events are independent.)
Term
Predictive Value Positive
Definition
The probability that a person as a disease given the test is positive
Term
Predictive Value Negative
Definition
Probability that a person does not have a disease given the test is negative
Term
False Positive
Definition
The test is positive but true status is no disease
Term
False Negative
Definition
Test is negative but true status is disease is present
Term
Sensitivity 
Definition
Probability symptom is present given the subject has a disease
Term
Specificity 
Definition
Probability symptom is not present given subject does not have disease
Term
Prevalence
Definition
Probability of having a disease regardless of how long a person has had the disease
Term
Incidence
Definition
Probability that a person without disease develops desease in a specified time period
Term
Random Variable 
Definition
A numeric function that assigns probabilities to different events in a sample space
Term
Discrete Random Variable 
Definition
Specific values with specific probabilities
Term
Probability Mass Function 
Definition
AKA Probability Distribution - A rule to assign possible values for a discrete random variable, X
Term
Permutation 
Definition
The number of ways of selecting "k" items out of "n," when the order IS important
Term
Combinations
Definition
the number of ways of selecting "k" objects out of "n," when order does NOT matter
Term
Binomial Distribution
Definition
n number of independent Bournoulli trials, each with only two possible outcomes
Term
Inclusive
Definition
Means "everything in between"
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