Single sample t-Test in Stata without hardcoded null hypothesis - stata

I am pretty new to Stata and I am having difficulty doing something which I would guess is not that unusual of a thing to try to do. I am working with a panel data set (countries and times). Each observation consists of a country, a year, and a variable, call it x. The data is sorted by country year (i.e. all observations corresponding to a given country are consecutive and sorted by year).
Each country has 54 years of data corresponding to 1960 to 2013 inclusive. I would like to run a t-test something like in the following way:
by country: ttest x = x[54] if year != 2013
But I get an error ("weights not allowed") which I don't know how to interpret. I could do it by hardcoding it in and using the usual syntax
by country: ttest x = # if year != 2013
but I want to avoid hard-coding since there are >100 countries and I want to be able to flexibly add / remove countries (and this is just poor form in general).
My first thought was to define a macro using something like
levelsof country, local(levels)
foreach c of local levels {
local y x if year == 2013
ttest x = y if year != 2013
// some code to store the value that I haven't figured out yet
}
but you can't use "if" with declaring a local macro. I am pretty lost and would appreciate any help you all can give. Thank you!

Student's t tests here make little sense without adjustment for time and space dependence structure, unless you have grounds for treating your data as equivalent to independent draws from the same distribution. You can do the tests, but standard errors and P-values are dubious if not bogus. That is, your individual tests on time series face one problem; and collectively your tests face another problem. For a good account, see either edition of Box, Hunter, Hunter, Statistics for experimenters. John Wiley.
That large point aside, Stata is choking on the [] which are being misread as an attempt to specify weights. My guess is that
by country: ttest x = `=x[54]' if year != 2013
would be acceptable syntax to Stata, although still dubious statistics. The detail here is the macro-like syntax
`= '
which has the effect that the expression given will be evaluated by Stata before the line is passed to ttest. So the result, a numeric value, will be what the ttest command sees.
This is naturally similar in spirit to what you were imagining, although your code is some way from being legal and correct.
UPDATE This calculation may also be helpful:
egen mean = mean(x / (year != 2013)), by(country)
egen sd = sd(x / (year != 2013), by(country)
gen z = (x - mean) / sd if year == 2013
list country x z if year == 2013

Related

Attrition in panel data - Stata

I am constructing a panel dataset based on the survey data for the years 2010-2013 (four consecutive years). As is usually the case with household survey data, there is an issue of attrition, i.e. some households drop out from the survey from year to year. I need to figure out whether these households are missing at random.
My idea is to come up with a dummy equal to 1 in 2011 if a household present in 2010 is missing in 2011 (and 0 otherwise), and so on for the years 2012, 2013. Then I want to run the logit/probit regression on this dummy with a set of covariates that I would like to control for in my study. The variable for household id is "hhid" and I have of course the time dimension variable "year".
Does anyone have a precise idea how this should be properly coded in Stata? I know it is not complicated, but I just cannot wrap my head around it and figure this out....
Here is an example on how you create a dummy in a panel data and then collapse those dummy to the parent unit-of-observation making the dummy 1 if the parent unit-of-observation was 1 in any time period. Then merge the parent unit-of-observation level data back to the panel data.
* Example generated by -dataex-. For more info, type help dataex
clear
input byte hhid int year
1 2010
1 2011
1 2012
1 2013
2 2010
2 2011
2 2013
3 2010
3 2011
end
*Create a dummy for each year-hh level observation for each year
local year_dummies ""
forvalues year = 2010/2013 {
gen dummy`year' = (year==`year')
local year_dummies "`year_dummies' dummy`year'"
}
*Collapse the data set to hh level where the dummies is 1 if any year-hh level was 1
preserve
collapse (max) `year_dummies' , by(hhid)
tempfile year_dummy_hhlevel
save `year_dummy_hhlevel'
restore
*Rename to not having to overwrite the first step
rename dummy???? org_dummy????
*Merge the hh level data back to the year-hh level
*data merging the hh dummy to each year-hh observation
merge m:1 hhid using `year_dummy_hhlevel', nogen
Your question is if there is a difference in the households you do not observe in year X compare to those you do observe in year X. There is no perfect way to answer this question as you, by definition, did not observe those households.
You did however observe all households in your study in year 0 (2010 in your case). As you imply yourself, you can use observations in year 0 as a proxy to answer if those households are different in year X. I can help you show how you can code this, but StackOverflow is not the appropriate forum to discuss is this is statistically valid given your data, how it was collected and what analysis you intend to use.
One way to code this is to use iebaltab in the package called ietoolkit available from SSC (disclosure, I wrote that command).
You can create an attrition dummy indicating attrition and use iebaltab like this: iebaltab balancevars, grpvar(attrition) where balancevars is a list of variables for characteristics in the household where you want to make sure they were similar in year 0. You can use the option ftest to include the test across all balance variables they way you are suggesting.
Not that this command generates statistics, but it is up to you to decide if this is valid, and the validity of balance tests are hotly debated. But those debates are not about coding which StackOverflow is about.

Clarification on tabstat use after bysort in Stata

I have a rather simple question regarding the output of tabstat command in Stata.
To be more specific, I have a large panel dataset containing several hundred thousands of observations, over a 9 year period.
The context:
bysort year industry: egen total_expenses=total(expenses)
This line should create total expenses by year and industry (or sum of all expenses by all id's in one particular year for one particular industry).
Then I'm using:
tabstat total_expenses, by(country)
As far as I understand, tabstat should show in a table format the means of expenses. Please do note that ids are different from countries.
In this case tabstat calculates the means for all 9 years for all industries for a particular country, or it just the mean of one year and one industry by each country from my panel data?
What would happen if this command is used in the following context:
bysort year industry: egen mean_expenses=mean(expenses)
tabstat mean_expenses, by(country)
Does tabstat creates means of means? This is a little bit confusing.
I don't know what is confusing you about what tabstat does, but you need to be clear about what calculating means implies. Your dataset is far too big to post here, but for your sake as well as ours creating a tiny sandbox dataset would help you see what is going on. You should experiment with examples where the correct answer (what you want) is obvious or at least easy to calculate.
As a detail, your explanation that ids are different from countries is itself confusing. My guess is that your data are on firms and the identifier concerned identifies the firm. Then you have aggregations by industry and by country and separately by year.
bysort year industry: egen total_expenses = total(expenses)
This does calculate totals and assigns them to every observation. Thus if there are 123 observations for industry A and 2013, there will be 123 identical values of the total in the new variable.
tabstat total_expenses, by(country)
The important detail is that tabstat by default calculates and shows a mean. It just works on all the observations available, unless you specify otherwise. Stata has no memory or understanding of how total_expenses was just calculated. The mean will take no account of different numbers in each (industry, year) combination. There is no selection of individual values for (industry, year) combinations.
Your final question really has the same flavour. What your command asks for is a brute force calculation using all available data. In effect your calculations are weighted by the numbers of observations in whatever combinations of industry, country and year are being aggregated.
I suspect that you need to learn about two commands (1) collapse and (2) egen, specifically its tag() function. If you are using Stata 16, frames may be useful to you. That should apply to any future reader of this using a later version.

How to check for outliers using scalars

I'm checking the distribution of test scores by year, subject, and grade. I want to make sure that there aren't any outliers, which would be anything more than 4 standard deviations from the mean. This is my code:
bys year subject tested_grade: summarize test_score
But when I try to get the scalars I can only get the scalar corresponding to the last year, subject, tested_grade. I've tried creating a loop but it leads to the same problem.
I have found Nick Cox's extremes command but it doesn't tell me how many standard deviations the extreme values are from the mean.
If anyone has some ideas of how to check for outliers as determined by a measure of standard deviations away from the mean it would be really helpful.
Edit
This code gets me (mostly) what I want.
bys year subject tested_grade: summarize test_score
gen std_test_score = (test_score > 4*r(sd)) if test_score < .
list test_score std_test_score if std_test_score==1
The only problem is that the last year, subject, and tested_grade is where the r(sd) comes from. I'd want to create a variable - std_test_score1-20 - for each year, subject, and tested_grade.
Means and SDs may be generated for several groups at once by
bysort year subject tested_grade : egen mean_test_score = mean(test_score)
by year subject tested_grade: egen sd_test_score = sd(test_score)
gen std_test_score = (test_score - mean_test_score) / sd_test_score
Indeed, egen has a function std() to do this in one step, but it's often a good idea to re-create basics from even more basic principles.
Your code omits subtraction of the mean.
However, as underlined in comments, (value - mean) / SD is a poor criterion for outliers as outliers themselves influence the mean and SD. That's why, for example, box plots are based on median, quartiles and (commonly) points more than so many interquartile ranges away from the nearer quartile.

Stata: Newvar for multiple equal dates

I have trouble to generate a new variable which will be created for every month while having multiple entries for every month.
date1 x b
1925m12 .01213 .323
1925m12 .94323 .343
1926m01 .34343 .342
Code would look like this gen newvar = sum(x*b) but I want to create the variable for each month.
What I tried so far was
to create an index for the date1 variable with
sort date1
gen n=_n
and after that create a binary marker for when the date changes
with
gen byte new=date1!=date[[_n-1]
After that I received a value for every other month but I m not sure if this seems to be correct or not and thats why I would like someone have a look at this who could maybe confirm if that should be correct. The thing is as there are a lot of values its hard to control it manually if the numbers are correct. Hope its clear what I want to do.
Two comments on your code
There's a typo: date[[_n-1] should be date1[_n-1]
In your posted code there's no need for gen n = _n.
Maybe something along the lines of:
clear
set more off
*-----example data -----
input ///
str10 date1 x b
1925m12 .01213 .323
1925m12 .94323 .343
1926m01 .34343 .342
end
gen date2 = monthly(date1, "YM")
format %tm date2
*----- what you want -----
gen month = month(dofm(date2))
bysort month: gen newvar = sum(x*b)
list, sepby(month)
will help.
But, notice that the series of the cumulative sum can be different for each run due to the way in which Stata sorts and because month does not uniquely identify observations. That is, the last observation will always be the same, but the way in which you arrive at the sum, observation-by-observation, won't be. If you want the total, then use egen, total() instead of sum().
If you want to group by month/year, then you want: bysort date2: ...
The key here is the by: prefix. See, for example, Speaking Stata: How to move step by: step by Nick Cox, and of course, help by.
A major error is touched on in this thread which deserves its own answer.
As used with generate the function sum() returns cumulative or running sums.
As used with egen the function name sum() is an out-of-date but still legal and functioning name for the egen function total().
The word "function" is over-loaded here even within Stata. egen functions are those documented under egen and cannot be used in any other command or context. In contrast, Stata functions can be used in many places, although the most common uses are within calls to generate or display (and examples can be found even of uses within egen calls).
This use of the same name for different things is undoubtedly the source of confusion. In Stata 9, the egen function name sum() went undocumented in favour of total(), but difficulties are still possible through people guessing wrong or not studying the documentation really carefully.

Stata estpost esttab: Generate table with mean of variable split by year and group

I want to create a table in Stata with the estout package to show the mean of a variable split by 2 groups (year and binary indicator) in an efficient way.
I found a solution, which is to split the main variable cash_at into 2 groups by hand through the generation of new variables, e.g. cash_at1 and cash_at2. Then, I can generate summary statistics with tabstat and get output with esttab.
estpost tabstat cash_at1 cash_at2, stat(mean) by(year)
esttab, cells("cash_at1 cash_at2")
Link to current result: http://imgur.com/2QytUz0
However, I'd prefer a horizontal table (e.g. year on the x axis) and a way to do it without splitting the groups by hand - is there a way to do so?
My preference in these cases is for year to be in rows and the statistic (e.g. mean) in the columns, but if you want to do it the other way around, there should be no problem.
For a table like the one you want it suffices to have the binary variable you already mention (which I name flag) and appropriate labeling. You can use the built-in table command:
clear all
set more off
* Create example data
set seed 8642
set obs 40
egen year = seq(), from(1985) to (2005) block(4)
gen cash = floor(runiform()*500)
gen flag = round(runiform())
list, sepby(year)
* Define labels
label define lflag 0 "cash0" 1 "cash1"
label values flag lflag
* Table
table flag year, contents(mean cash)
In general, for tables, apart from the estout module you may want to consider also the user-written command tabout. Run ssc describe tabout for more information.
On the other hand, it's not clear what you mean by "splitting groups by hand". You show no code for this operation, but as long as it's general enough for your purposes (and practical) I think you should allow for it. The code might not be as elegant as you wish but if it's doing what it's supposed to, I think it's alright. For example:
clear all
set more off
set seed 8642
set obs 40
* Create example data
egen year = seq(), from(1985) to (2005) block(4)
gen cash = floor(runiform()*500)
gen flag = round(runiform())
* Data management
gen cash0 = cash if flag == 0
gen cash1 = cash if flag == 1
* Table
estpost tabstat cash*, stat(mean) by(year)
esttab, cells("cash0 cash1")
can be used for a table like the one you give in your original post. It's true you have two extra lines and variables, but they may be harmless. I agree with the idea that in general, efficiency is something you worry about once your program is behaving appropriately; unless of course, the lack of it prevents you from reaching that state.