Potato is important for food security in developing countries such as Ethiopia. The purpose of this study is to evaluate the contribution of varied fertilizers to potato yields at Basketo Special Woreda, Gamogofa Zone, Ethiopia. To attain this objective, a generalized linear mixed model was used to differentiate the factors that affect the marketable yield of potatoes by considering variability within three replications. In addition, this study used the Kolmogorov-Smirnov test to check the goodness of fit tests of normal distribution. The collected data were analyzed using statistical software, SAS version 9.4. The mean of plant tallness, number of plants per plot, number of plants per slope, and number of tubers per slope were 73.65 (SD = 12.2), 155.2 (SD = 112.2), 3.23 (SD = 1.31), and 10.91 (SD = 3.15.2), respectively. The result reveals that 6% of variation existed in potato yield between plots, and the remaining 94% existed within plots. Apart from a linear mixed model, a random intercept model was applied to this data. The findings reveal that fertilizer types, number of plants per plot, and numbers of tubers per hill were significant at 5% level of significant. Thus, the expected marketable yield of potatoes decreased by 0.7819 tons/hectare when the number of tubers per hill increased by 1 unit. On the other hand, the expected marketable yield of potatoes has increased by 0.0175 tons/hectare when the number of plants per plot increased by 1 unit.