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Population
Everyone we want information about
Sample
people who were actually selected/ responded from the population
Statistic
Number calculated from a sample
Parameter
Number describing an entire population.
Simple random
where every person or item in a total population has an exact and equal chance of being chosen
Stratified
Divide into groups, take random samples from each group.
Cluster
Randomly select an entire group/ cluster
Systematic
Every 5th, 10th, 40th, etc. Item is selected from a list after a random start.
Convenience
Whoever is easiest to get (First 20 people in a room)
Multistage
Sampling method that combines multiple sampling techniques, involving selection at various stages.
Categorical
Labels/groups
Quantitative
Numbers where mathematical calculations make sense
Discrete
Countable numbers/values: 1, 2, 3. . .
Continuous
Measurements: height, weight, time, temperature, etc.
Ordinal
Categories with an order (mild, medium, hot spice levels)
Quantitative continuous
data that can take any value within a range, used for measurements such as height and weight.
Ratio
A type of quantitative data that has a true zero point, allowing for the comparison of absolute magnitudes, such as weight, height, and temperature in Kelvin.
Cross-sectional
A study design that examines data at a single point in time, often used to assess the prevalence of outcomes or characteristics within a population.
Case-control
A study design that compares individuals with a specific condition or outcome to those without, looking backward in time to identify possible risk factors or exposures.
Descriptive
statistics that summarize and describe the features of a dataset, such as measures of central tendency and variability.
Inferential
statistics that use a random sample of data to make inferences about a larger population, often involving hypothesis testing and confidence intervals.
Blocks
A method used in experimental design to control for the effects of certain variables by grouping subjects with similar characteristics, thereby reducing variability within treatment groups.
Randomized block
Randomize within the group/ block.
double- blinding
A technique in clinical trials where neither the participants nor the researchers know who is receiving the treatment or the placebo, minimizing bias in the results.
Single- blinding
A method in which only the participants are unaware of whether they are receiving the treatment or placebo, while the researchers know the assignments.
Census
The process of systematically collecting, analyzing, and recording information about the members of a population, often conducted at regular intervals.
Relative frequency
frequency/total
Frequency
Total X relative frequency
Gap in distribution
If numbers go from small to large back to small and then repeats this pattern( 2 bell shapes) This could mean that there are two populations.
Bar graph
Represents each category by a bar whose height Is the count, or the percent, for the category. The bars are separated by blank space and may be arranged in any order.
Pie chart
Shows each category as a slice of a single circle, the size of the slice being the percent of the whole that the category represents.
Bell-shaped
Highest frequency occurs in the middle, pretty symmetrical and looks like a usual histogram.
Uniform
A distribution where all categories have the same frequency, creating a flat shape on the graph.
Skewed to the right
A distribution where most values are concentrated on the left side, with a long tail extending to the right.
Skewed to the left
A distribution where most values are concentrated on the right side, with a long tail extending to the left.
Normal distribution
The points lie reasonably close to a straight line, with no systematic pattern away from it.
Not normal
The points do not lie close to a straight line, or they show a systematic pattern that is not a straight line.
Percentiles
The values that divide a data set into 100 equal parts, where each percentile represents 1% of the data. They are a position, not a diagnosis.
Interquartile range
Q3-Q1
Five number summary
A summary that includes the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values of a data set.
IQR rule
Used to identify outliers by determining data points that fall BELOW Q1 - 1.5 X IQR (lower fence) or ABOVE Q3 + 1.5 X IQR (upper fence)
Standard score/ Z- score
A statistical measure that indicates how many standard deviations an element is from the mean of a data set. Z-scores can be positive or negative, indicating whether the value is above or below the mean.
Blood type of patient
Qualitative- labels, type but doesn’t effect traits
Number of emergency room admissions in a night
Quantitative discrete- describes amount, but its just a number (count)
Systolic blood pressure
Quantitative continuous- describes number measurements
Patient identification number
Qualitative- just a label
Ratio
The values can be ordered, differences are meaningful, and there is a natural zero. Ratios of values are therefore meaningful as well. Examples include heights, weights, and distances.
Time from admission to first treatment, in minutes
Quantitative continuous- measurement
Number of prescriptions a patient currently takes
Qualitative discrete- just a count
Patient satisfaction rated as poor, fair, good, or excellent
Ordinal
Resting heart rate, in beats per minute
Ratio
Type of insurance a patient carries
Nominal
Year in which a patient was diagnosed
Interval
Volume of blood drawn, in millimeters
Ratio
Descriptive Statistics
gathers, sorts, summarizes, and displays the data. The main purpose is to describe the data and present the information in a convenient form.
Inferential data
Involves using descriptive statistics to estimate population parameters.
Observational study
Looks at data that already exists. It observes variables in their natural settings without manipulation for causal relationships.
Retrospective/ case control study
Data are collected from a past time period by going back in time.
Lurking variable
A variable that is not included in the study but may influence the relationship between the variables being studied, potentially confounding results.
Confounding variables
Variables that are related to both the dependent and independent variables, potentially leading to incorrect conclusions about their relationship.