Question C: Influence of mother's physical and mental health on infant growth
A mother is one of the most important people in a baby's life, providing not only nutrition and physical protection but also emotional support and a sense of security. Adverse conditions of the mother's mental health, such as depression, anxiety, and stress, may have negative effects on the baby's cognition, emotion, and social behavior. A stressed mother can negatively affect a baby's physical and psychological development, such as affecting sleep.
The appendix presents data on 390 infants aged 3 to 12 months and their mothers. The data cover a variety of subjects, with physical indicators of mothers including age, marital status, education, duration of pregnancy, mode of delivery, and maternal psychological indicators CBTS (Partnership-related Post Traumatic Stress Disorder Questionnaire), EPDS (Edinburgh Postpartum Depression Scale) , HADS (Hospital Anxiety and Depression Scale) and indicators of infant sleep quality including duration of sleep throughout the night, number of awakenings and falling asleep patterns. Please refer to the relevant literature, understand the professional background, build a mathematical model based on the topic data, and answer the following questions.
1. Many studies have shown that the mother's physical and psychological indicators have an impact on the baby's behavioral characteristics and sleep quality. Is there such a rule? Do research based on the data in the attachment.
Ideas:
SEM consists of two parts: a measurement model and a structural model. A measurement model describes the relationship between observed and latent variables, whereas a structural model describes the relationship between latent variables.
"Mother's physical index", "mother's psychological index", "baby's behavior characteristics" and "baby's sleep quality" can be regarded as four potential variables. We can then relate the relevant observed variables to these latent variables. For example, "Age", "Marital Status", "Education Level", "Duration of Pregnancy" and "Mode of Delivery" can be associated with "Mother's Physical Indicators", "CBTS", "EPDS" and "HADS" can be associated with "Mother's "Sleep time throughout the night", "Wake-up times" and "Sleep mode" can be associated with "baby's sleep quality", and "baby's behavioral characteristics" may need to be collected according to your research purpose Watch variables.
Next, we build a structural model, which can assume that "mother's physical indicators" and "mother's psychological indicators" will affect "baby's behavioral characteristics" and "baby's sleep quality", and "baby's behavioral characteristics" may also affect " Infant sleep quality". Then, we can use SEM software (such as LISREL, AMOS or Mplus, etc.) to estimate the model parameters and check whether your model fits the data.
Before using SEM for data analysis, you may need to do proper preprocessing of your data, such as handling missing values, outliers, checking data for normality, etc.
2. The Infant Behavior Questionnaire is a scale used to assess behavioral characteristics of infants, which contains a number of questions about the infant's emotions and reactions. We divide the behavioral characteristics of infants into three types: quiet, moderate, and ambivalent. Please establish a relationship model between the baby's behavioral characteristics and the mother's physical and psychological indicators. In the last 20 groups of infants (No. 391-410) in the data table, the behavior characteristics information has been deleted. Please judge what type they belong to.
This can be done with machine learning classification. The baby’s behavioral characteristics are used as Y, and the mother’s physical and psychological indicators are used as X. Logistic regression, random forest, XGBOOST, neural network, etc. can be used. If you want to do more Excellent, can be tuned with heuristics
3. Intervention on maternal anxiety can help improve the mother's mental health, improve the quality of mother-infant interaction, and promote the infant's cognitive, emotional and social development. The change rate of the treatment cost of CBTS, EPDS, and HADS relative to the degree of illness is proportional to the treatment cost. After investigation, the treatment costs corresponding to the two scores are given, as shown in Table 1. There is an infant whose behavioral characteristics are ambivalent, numbered 238. Please build a model
to analyze how much treatment cost is required to change the baby's behavioral characteristics from contradictory to moderate?
How would the treatment plan need to be adjusted in order to change his behavioral profile to a quieter type?
This is a simulation problem, and the model can be divided into two parts: the first part is simulation, we need to build a prediction model, which can predict the behavior characteristics of babies based on the three variables of CBTS, EPDS, and HADS; the second part is simulation. The second part is to solve, that is, how we need to configure the treatment combination of CBTS, EPDS, and HADS to realize the behavior characteristics of the baby from contradictory to moderate, or from contradictory to quiet. For this, we can directly arrange and substitute into the simulation model of the first part.
4. The baby's sleep quality indicators include the sleep time of the whole night, the number of times of waking up, and the way of falling asleep. Please make a comprehensive evaluation of the baby's sleep quality in four categories: excellent, good, medium, and poor, and establish a correlation model between the baby's comprehensive sleep quality and the mother's physical and psychological indicators, and predict the last 20 groups (No. 391-410) of babies comprehensive sleep quality.
The fourth question can also be split into two models:
The first one is a comprehensive evaluation model of infant sleep quality, which is mainly constructed based on infant sleep quality indicators. The weight can be determined through subjective weight determination (analytic hierarchy process) or objective weight determination (entropy weight method, etc.), and then through the rsr rank Construct a comprehensive evaluation model by sum ratio method, topsis method, etc., and get the comprehensive sleep quality score
The second one takes the comprehensive sleep quality score as Y, and the mother's physical index and psychological index as X, which is treated the same as 2.
5. On the basis of Question 3, if it is necessary to make the sleep quality of baby No. 238 rated as excellent, does the treatment strategy for Question 3 need to be adjusted? How to adjust?
The fifth question is to retrain the model on the basis of the third and fourth questions.
You can also go to Station B to view the video and code of ideas