Review Which descriptive statistic are most appropriate for used with nominal level variables?
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Dương Khoa Vũ đang tìm kiếm từ khóa Which descriptive statistic are most appropriate for used with nominal level variables? được Cập Nhật vào lúc : 2022-11-04 04:42:03 . Với phương châm chia sẻ Bí quyết về trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi tham khảo tài liệu vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Ad lý giải và hướng dẫn lại nha.Please find below some common questions that are asked regarding measures of central tendency, along with their answers. These FAQs are in addition to our article on measures of central tendency found on the previous page.
Nội dung chính Show- What is the best measure of central tendency?In a strongly skewed distribution, what is the best indicator of central tendency?Does all data have a median, mode and mean?When is the mean the best measure of central tendency?When is the mode the best measure of central tendency?When is the median the best measure of central tendency?What is the most appropriate measure of central
tendency when the data has outliers?In a normally distributed data set, which is greatest: mode, median or mean?For any data set, which measures of central tendency have only one value?Running the ProcedureWhat descriptive statistics are used most often with nominal level measures?Which statistical test is used with nominal level data?What is the most appropriate way to display nominal data?
What is the best measure of central tendency?
There can often be a "best" measure of central tendency with regards to the data you are analysing, but there is no one "best" measure of central tendency. This is because whether you use the median, mean or mode will depend on the type of data you have (see our Types of Variable guide), such as nominal or continuous data; whether your data has outliers and/or is skewed; and what you are trying to show from your data. Further considerations of when to use each measure of central tendency is found in our guide on the previous page.
In a strongly skewed distribution, what is the best indicator of central tendency?
It is usually inappropriate to use the mean in such situations where your data is skewed. You would normally choose the median or mode, with the median usually preferred. This is discussed on the previous page under the subtitle, "When not to use the mean".
Does all data have a median, mode and mean?
Yes and no. All continuous data has a median, mode and mean. However, strictly speaking, ordinal data has a median and mode only, and nominal data has only a mode. However, a consensus has not been reached among statisticians about whether the mean can be used with ordinal data, and you can often see a mean reported for Likert data in research.
When is the mean the best measure of central tendency?
The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed. However, it all depends on what you are trying to show from your data.
When is the mode the best measure of central tendency?
The mode is the least used of the measures of central tendency and can only be used when dealing with nominal data. For this reason, the mode will be the best measure of central tendency (as it is the only one appropriate to use) when dealing with nominal data. The mean and/or median are usually preferred when dealing with all other types of data, but this does not mean it is never used with these data types.
When is the median the best measure of central tendency?
The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data. However, the mode can also be appropriate in these situations, but is not as commonly used as the median.
What is the most appropriate measure of central tendency when the data has outliers?
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
In a normally distributed data set, which is greatest: mode, median or mean?
If the data set is perfectly normal, the mean, median and mean are equal to each other (i.e., the same value).
For any data set, which measures of central tendency have only one value?
The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).
Recall that a Z score for an observation of some variable X is computed as
$$ Z_i = fracX_i - musigma $$
where
xi is the ith observed value of X
μ is the population mean of X
σ is the population standard deviation of X
Zi is the computed z-score corresponding to xi.
Stated another way, a Z score is simply an observation that has been centered about its mean and scaled to its standard deviation. The end result is a standardized version of the variable, whose units are now in terms of "standard deviation units". (A Z score of 1 means that it is one standard deviation above the mean; a Z score of -1 means that it is one standard deviation below the mean.)
In SPSS, you can compute standardized scores for numeric variables automatically using the Descriptives procedure. One important distinction is that the standardized values of the "raw" scores will be centered about their sample means and scaled (divided by) their sample standard deviations; that is:
$$ z = fracx - barxs $$
Running the Procedure
Using the Descriptives Dialog WindowClick Analyze > Descriptive Statistics > Descriptives.Add the variables English, Reading, Math, and Writing to the Variables box.Check the box Save standardized values as variables.Click OK when finished.Using SyntaxDESCRIPTIVES VARIABLES=English Reading Math Writing /SAVE /STATISTICS=MEAN STDDEV MIN MAX.Output
If the computation is successful, then the syntax will be printed in the Output window, and new variables called ZEnglish, ZReading, ZMath, and ZWriting will be added to the Data View.
If you want to compute Z scores for a variable using a known population mean and population standard deviation, use the Compute Variables procedure instead, and enter the Z score formula using the desired population mean and standard deviation values in the expression.
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