MANOVA is used to model two or more dependent variables that are continuous with one or more categorical predictor variables. Please note: The purpose of this page is to show how to use various data analysis commands. It does not cover all aspects of the research process which researchers are expected to do. In particular, it does not cover data cleaning and checking, verification of assumptions, model diagnostics or potential follow-up analyses.

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Campus health and safety are our top priorities. Get help with Zoom and more and learn about restarting research. I want to see the change in R-square when each block is added to the model. The output will provide a table containing the R-squared values, R-squared change values, and the significance levels of the R-squared change values for each model. Which type of ICC should I choose for my study? Check the Intraclass correlation coefficient box. Select the type of model two-way mixed, two-way random, one-way random and type of index consistency or absolute agreement.

Beginning with Release 8. In all situations to be considered, the structure of the data is as N cases or rows, which are the objects being measured, and k variables or columns, which denote the different measurements of the cases or objects. The cases or objects are assumed to be a random sample from a larger population, and the ICC estimates are based on mean squares obtained by applying analysis of variance ANOVA models to these data.

The first decision that must be made in order to select an appropriate ICC is whether the data are to be treated via a one way or a two way ANOVA model.

In all situations, one systematic source of variance is associated with differences among objects measured. The interpretation of the ICCs is as the proportion of relevant variance that is associated with differences among measured objects or persons.

What variance is considered relevant depends on the particular model and definition of agreement used. Suppose that the k ratings for each of the N persons have been produced by a subset of j k raters, so that there is no way to associate each of the k variables with a particular rater. In this situation the one way random effects model is used, with each person representing a level of the random person factor.

There is then no way to disentangle variability due to specific raters, interactions of raters with persons, and measurement error. All of these potential sources of variability are combined in the within person variability, which is effectively treated as error. If there are exactly k raters who each rate all N persons, variability among the raters is generally treated as a second source of systematic variability.

If the k raters are a random sample from a larger population, the rater factor is considered random, and the two way random effects model is used. Otherwise, the rater factor is treated as a fixed factor, resulting in a two way mixed model. In the mixed model, inferences are confined to the particular set of raters used in the measurement process.

In the dialog boxes, when the Intraclass correlation coefficient checkbox is checked, a dropdown list is enabled that allows you to specify the appropriate model. If nothing further is specified, the default is the two way mixed model. If either of the two way models is selected, a second dropdown list is enabled, offering the option of defining agreement in terms of consistency or in terms of absolute agreement if the one way model is selected, only measures of absolute agreement are available, as consistency measures are not defined.

The default for two way models is to produce measures of consistency. The difference between consistency and absolute agreement measures is defined in terms of how the systematic variability due to raters or measures is treated.

If that variability is considered irrelevant, it is not included in the denominator of the estimated ICCs, and measures of consistency are produced. If systematic differences among levels of ratings are considered relevant, rater variability contributes to the denominators of the ICC estimates, and measures of absolute agreement are produced. The dialog boxes thus offer five different combinations of options: 1 one way random model with measures of absolute agreement; 2 two way random model with measures of consistency; 3 two way random model with measures of absolute agreement; 4 two way mixed model with measures of consistency; 5 two way mixed model with measures of absolute agreement.

In addition, you can specify a coverage level for confidence intervals on the ICC estimates, and a test value for testing the null hypothesis that the population ICC is a given value.

Each of the five possible sets of output includes two different ICC estimates: one for the reliability of a single rating, and one for the reliability for the mean or sum of k ratings.

The appropriate measure to use depends on whether you plan to rely on a single rating or a combination of k ratings. Combining multiple ratings of course generally produces more reliable measurements.

Note that the numerical values produced for the two way models are identical for random and mixed models. However, the interpretations under the two models are different, as are the assumptions. Since treating the data matrix as a two way design leaves only one case per cell, there is no way to disentangle potential interactions among raters and persons from errors of measurement.

The practical implications of this are that when raters are treated as fixed in the mixed model, the ICC estimates for either consistency or absolute agreement for the combination of k ratings require the assumption of no rater by person interactions. The estimates for the reliability of a single rating under the mixed model and all estimates under the random model are the same regardless of whether interactions are assumed.

As a final note, though the ICCs are defined in terms of proportions of variance, it is possible for empirical estimates to be negative the estimates all have upper bounds of 1, but no lower bounds.

In the next issue, we will discuss the problem of negative reliability estimates. How do I create a count variable in SPSS that reflects the order of the subjects in my raw data file? The new variable seq will appear in the data editor window.

The variable seq is assigned an integer value, starting at 1 for the first case, and increasing by one for each subsequent case.

How do I calculate the probablity that my sample was drawn from a binomial population with a certain probability value p, in SPSS? Select the variable you want to test and click the arrow to move the variable into the Test Variable List box. How do I create a contingency table where the rows and columns are finite categorical variables and the cells are frequency counts and test an hypothesis of row and column independence in SPSS?

The output will show a contingency table and a table with the Pearson Chi-square test statistic and associated p-value. Using SPSS, how do I calculate the age of my observations in years relative to a birth date and an observation date for each subject?

Currently I have my date data in separate variables representing day, month, and year. Replace the first question mark with the birth year variable by selecting the birth year variable and clicking the arrow. Replace the second question mark with the birth month variable. Replace the third question mark with the birth day variable. The new variable birthdate will appear in the data editor window.

The values will be numeric, representing the number of days since October 14, day 0 of the Gregorian calendar. Repeat the above steps to compute the observation date, e. To compute age , select:. This will give the age in years, with the decimal portion truncated; that is, the age will not be rounded up. The decimal portion of the number can be deleted with formatting; in the Variable View window, set the Decimals column to 0.

The following dialog boxes illustrate this procedure:. An example of this is shown below:. If birthdate and observation date are coded as one variable each, in date format, age can be computed by the following steps. From the data editor window, select:.

Replace the first question mark with the observation date variable by selecting the observation date variable and clicking the arrow. Replace the second question mark with the birthdate variable. Replace the third question mark with "years", making sure to include the quotation marks.

Click OK. This will return the age in years, not rounded up, as depicted below:. How can I do this? These steps are similar for all types of SPSS data file transfers. Now click the SAVE button. Instead, they insist on treating the file format as binary. Fortunately, a work around remedy to this problem exists. Now open your favorite word-processor e. You may receive a message at this point that says something like, "Convert from text only format? You should answer "Yes" or "OK" to this message.

If you have a choice of formats to use in opening the file, always choose TEXT ONLY the type of message you receive and the conversion choices available to you may vary among different word processing programs. Under no circumstances should you type in or otherwise alter the file's contents.

Doing so will render the file worthless. Once you have saved the file with the word processor, quit the word processor. Your next step is to transfer the SPSS portable data file to the destination computer. Once you have transferred your portable data file successfully, your next task is to read it into SPSS on your destination computer. Locate the directory where you received the portable data file via FTP. If you are using a memory stick to transfer the file instead of FTP, locate the appropriate drive at this time.

Locate the portable data file's name from the list of available files in the current working directory. Click once on the proper file to highlight it. Now click the OK button. SPSS should open the portable data file. I'm using the SPSS software to run some factor analysis and principal components jobs. Is there any way to improve the interpretability of the output? Under the heading Coefficient Display Format , check Sorted by size and Suppress absolute values less than and select the minimum factor loading value you want displayed in the component matrix tables.

The default minimum factor loading is 0. The formatting options will order the variables in the matrices by descending values and will leave blank any entry with an absolute value less than the specified value. Since the values of a categorical variable do not convey numeric information, such a variable should not be used in a regression model. Instead, each value of the categorical variable can be represented in the model with an indicator variable. An indicator or dummy variable contains only the values 1 and 0, with a value of 1 indicating that the associated observation has the given categorical value.

For example, let the variable LANG take on three levels British, French, and German that were originally coded as 1, 2, or 3 respectively. To include this categorical variable in a regression model, create an indicator variable for each type of LANG. In SPSS, you must first create the three new variables and give them a value.

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## Command Syntax Reference

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## One-way MANOVA | Stata Data Analysis Examples

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