I was wondering how i can answer the following question:
Are households producing enough crops to meet their daily food need, the dependent variable being : Experienced food shortage (binary 0/1) and crop production (contonous numerical) : independent variable.
how can I show that crop production affects or in this case are enough crops being produced to eliminate food shortage?
it would be great if you guys can help me out!
https://stats.stackexchange.com/questions/401430/what-statistics-should-i-consider-when-comparing-continuous-and-binary-data
Use Binomial Logistic Regression. It is a suitable test to establish whether the continuous independent variable can be used to predict the binary food security status.
Think back to the graphs for the continuous data. At a glance, you can see both the central location and spread of the data. If we added spec limits, we could see how many data points are close and far away from them. Is the process centered between the spec limits? Continuous data provide a lot of insight into our processes.
Now, compare that to the binary data that we used in the 2 Proportions test. All we learn from that data is the proportion of defects for Method 1 (0.062) and Method 2 (0.146). There is no distribution to analyze, no indication of how close the items are to the specs, and no indication of how they failed the inspection. We only know the two proportions.
Additionally, the samples sizes are much larger for the binary data than the continuous data (130 vs. 30). When the difference between proportions is smaller, the required sample sizes can become quite large. Had we used a sample size of 30 like before, we almost certainly would not have detected this difference.
In general, binary data provide less information than an equivalent amount of continuous data. If you can collect continuous data, it’s the better route to take!
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