In this tutorial, we provide guidelines for conducting linear mixed effects (LME) analysis for simple designs. First, we discuss how LME analyses compare to traditional t-tests, ANOVAs and linear regression when participants are the only random variable. Then we extend the discussion to studies in which researchers want to generalize across both participants and stimuli, to ensure that statistically significant effects are not due to a few of the stimuli used. For each analysis, we analyze a small toy dataset and provide information on conducting the analysis in R and in jamovi. We also summarize which standardized effect sizes can be calculated with the existing software. We hope the tutorial gives readers a good foundation for using LME analysis for the designs discussed and for extending it to more complex designs.