Currently, there is no government health coverage for cancer in our country and the prevalence of this disease is increasing rapidly. So I have collected data on the cancer scenario of the country and want to conduct an academic research where I want to estimate how much money the government can...
Suppose I have estimated the survival probabilities $\hat{S(t)}_1, \hat{S(t)}_2, \ldots, \hat{S(t)}_H$ from $H$ strata. Now I want to get an unbiased estimate of population survival probability $S(t)$ using these stratum-specific estimates. Then what should be the estimator?
Should it be...
In the book "Applied Multivariate Statistical Analysis" written by Johnson and Wichern, they have mentioned that the MLEs ($\hat{L_z}$) are obtained from the the correlation matrix $R$ by inserting $R$ in place of $[(n-1)/n] \times S$ (where $S$ is the sample covariance matrix) in the...
In the book "Applied Multivariate Statistical Analysis" written by Johnson and Wichern, they have mentioned about a computationally convenient uniqueness condition $L^T\psi^{-1}L=\Delta$, where $\Delta$ is a diagonal matrix. Here, $L$ is the factor loadings matrix and $\psi$ is vector of...
I am dealing with an interesting probability problem. I had 16 subjects randomly divided into 4 different rooms, each room having 4 seats. The subjects were given a question to solve. We knew from our prior experience that only 50% people could solve the problem. In our study, 7 of the 16 people...
Hello, I am quite new in writing and publishing papers. I have written a few papers, not that tough ones statistically, may be, but well written with properly performed analysis. One paper is on nutritional aspect of the country using a nationally representative data. There I have used a...
I have a data set of university students. The university has 8 different assisting programs, mostly like scholarships, for needy students to help them concentrate on their studies. Since it costs a lot of money for the university to run these programs, it opts to evaluate how effective each of...
I have an interesting problem here and really need your suggestion to analyze the data in a proper way.
In 2012 we collected data about retention of the students from first semester to second semester along with some other variables. The retention variable is a binary type variable-...
I am trying to simulate remission times for 100 patients from an exponential distribution with mean 1 year. I also want to simulate after-remission times for these 100 patients. But it is very much likely in the real life scenario that those who remit quickly are likely to have comparatively...
Dear all,
Can I use relative/normalized sampling weights in SPSS to get the correct standard errors? I have seen that it uses Taylor's linearization method for variance approximation. But I am not sure if the internal formula changes when I want to use relative weights instead of the raw...
I have some dependent variables related to the growth of a company having categories like (e.g. for variables indicating net profit, financial turnover etc.)
(1) decreasing,
(2) stable,
(3) increasing and
(4) rapidly increasing.
Now these variables are associated and ordinal in...
I have some associated categorical dependent variables that are ordinal in nature (with 4 or 5 categories). If I want to see the effect of a set of independent variables (which can be both continuous and categorical) what is the right way to perform the regression?
Should that be a...
I have a questionnaire that contains some skip questions. Like, say, the 3rd question is a yes/no type question. Only those who answered "yes" to the 3rd question are requested to answer the 4th, 5th and 6th question and those who answered "no" are requested to skip these three questions.
I...
Let us consider a case where a ranked set sampling scheme from $n^2$ subjects has been adopted. There are a total of $n$ RSS blocks. So each RSS block contains $n$ subjects. We will follow up them. Some of these subjects will fulfill a certain criterion and get a treatment and some will not be...
I am not sure if this question is very naive, but I was wondering if there is a relationship between sample mean and sample survival probability. For an exponential distribution with mean mu,
S(t)=1-exp(-t/mu})
Now if I generate data from an exponential distribution, can the sample mean...