Introduction to statistics Flashcards
What is a statistical unit?
A statistical unit is something you get a measurment from, eg. If you are doing a study on the height of 200 people, then each person you get a height value for is a statistical unit
Why is it important to know what a statistical unit is?
- When doing studies, our analysis are created on statistical units and the number of observations
How would you create a statistical unit for a study?
- Create a list of all possible measurements to be taken for the study
What are some examples of measurements from statistical units?
If the statistical units are people:
- Age (years)
- Gender
- Height (cm)
- Time to get to uni (minutes)
If a scientist measured the height, age and weight of 200 statistical units, what would these measurements be called collectively?
The height, age and weight of the statistical units would be known as the observations about a variable.
What is the difference between a variable and a variate?
A variable describes the measurement where as a variate is the actual value of a measurement.
Mark is 20 years old, he is 182 cm tall and he takes 23 minutes to get to uni. What is the statistical unit and what are the observations?
- Mark is the statistical unit
- His age, height and the time it takes him to get to uni are the observations.
What is the reason we collect data?
Data is collected to prove an idea or a theory and to make comparisons.
What is statistics ?
It is a science that is concerned with the processing, analysis and description of data.
Collecting, presenting and transforming data to assist decision-makers
What is a population in statistics?
A population consists of ALL the members of a group about which you want to draw a conclusion
What is a sample?
A sample is the portion or subset of the population selected for analysis
What is a parameter in statistics?
- A parameter is a numerical measure that describes a characteristic of a population
- A summary value that represents some feature of a population.
- The value of a parameter is constant for the population and has no error associated with it.
What is a statistic?
- A statistic is a numerical measure that describes a characteristic of a sample
- If the population is sampled, parameters must be estimated by a corresponding statistic.
- Statistics are associated with a certain level of uncertainty or error.
Give an Example of a parameter.
The population mean student grade for Biology in 2002
Give an example of a statistic.
The average student grade for the sample of students in Biology in 2002.
What is a variable?
- The property of, or observation made on, a statistical unit (SU) within a population (or sample).
- The value of this property will vary from SU to SU.
Give an example of a variable.
- The student’s grade for Biology in 2002.
What is a variate?
A particular value of a variable
Give an example of a variate.
- Student five had a grade of 75% for Biology in 2002.
What are the two branches of statistics?
- Descriptive Statistics
- Inferential statistics
What is Descriptive statistics?
- A descriptive statistic is a summary statistic that quantitatively describes or summarises features of a collection of information
What types of data are used in Descriptive statistics?
- Collective data (Surveys)
- Present data (Tables and Graphs)
- Characterise data (Sample mean)
What is Inferential statistics?
Drawing conclusions about a population based on sample data i.e. estimating a parameter based on a statistic
What data and/or techniques are used in Inferential statistics?
- Estimation
- Hypothesis testing