问题是svyglm不会产生像R平方这样的统计信息，而这些统计信息又不能传递给stargazer。看来您必须自己计算这些额外的统计信息，然后使用stargazer的add.lines参数将它们传递给stargazer。您可以在stargazer文档中阅读有关add.lines的信息，网址是：https://cran.r-project.org/web/packages/stargazer/stargazer.pdf。
下面是一个可重复的示例：

library(survey);library(stargazer)
set.seed(1)

data = data.frame(conglomerado=rnorm(100),
                  estrato=rnorm(100),
                  fact_cal_esi=abs(rnorm(100)),
                  sex=rnorm(100),
                  age=rnorm(100),
                  ln_w=rnorm(100),
                  level=rnorm(100))

# Svy design.
svy <- svydesign(id = ~conglomerado, 
                 strata = ~estrato, 
                 check.strata = TRUE,
                 weights = ~fact_cal_esi, 
                 data = data)

# Estimation.
options(survey.lonely.psu="remove")
short_model <- svyglm(ln_w ~ sex + age + factor(level),
                      design=svy)

#R-squared according to 
#https://stackoverflow.com/questions/73926485/survey-package-how-do-i-get-r-squared-from-a-svyglm-object
total_var <-svyvar(data, svy)
resid_var <- summary(short_model)$dispersion
rsq <- 1-resid_var/total_var

# Table.
stargazer(short_model,type="text", 
          column.labels = c("Short model"),
          title = 'Table 1: Short model',
          omit="level",
          add.lines = list(c("R-Squared","1")))

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这些其他的帖子问了类似的问题，关于计算这些统计数据从svyglm()，并可能有助于您这样做：
Survey-package: How do I get R-squared from a svyglm-object?，
https://stats.stackexchange.com/questions/618248/how-to-calculate-f-statistic-from-a-svyglm-model-in-r，
https://stats.stackexchange.com/questions/523152/different-ways-to-calculate-rsquared-after-regression-with-complex-survey-data-i的函数。